EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues R.I.R.O., 4 R3 (1970) 154-158 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Explicit convergence rate of the proximal point algorithm under R-continuity

Ba Khiet Le and Michel Théra
Evolution Equations and Control Theory (2025)
https://doi.org/10.3934/eect.2025016

Convergence of the Chambolle–Pock Algorithm in the Absence of Monotonicity

Brecht Evens, Puya Latafat and Panagiotis Patrinos
Journal of Optimization Theory and Applications 206 (1) (2025)
https://doi.org/10.1007/s10957-025-02680-x

Forward–Reflected–Backward Splitting Algorithms with Momentum: Weak, Linear and Strong Convergence Results

Yonghong Yao, Abubakar Adamu and Yekini Shehu
Journal of Optimization Theory and Applications 201 (3) 1364 (2024)
https://doi.org/10.1007/s10957-024-02410-9

Development of an Instantaneously Interpretable Real-Time Dosimeter System for Quality Assurance of a Medical Linear Accelerator

Dongyeon Lee, Sung Jin Kim, Wonjoong Cheon, Hyosung Cho and Youngyih Han
Progress in Medical Physics 35 (4) 178 (2024)
https://doi.org/10.14316/pmp.2024.35.4.178

A modified inertial shrinking projection algorithm with adaptive step size for solving split generalized equilibrium, monotone inclusion and fixed point problems

Abd-Semii Oluwatosin-Enitan Owolabi, Timilehin Opeyemi Alakoya and Oluwatosin Temitope Mewomo
Studia Universitatis Babes-Bolyai Matematica 69 (3) 665 (2024)
https://doi.org/10.24193/subbmath.2024.3.12

Proximal Point Algorithms with Inertial Extrapolation for Quasi-convex Pseudo-monotone Equilibrium Problems

Chinedu Izuchukwu, Grace N. Ogwo and Yekini Shehu
Networks and Spatial Economics 24 (3) 681 (2024)
https://doi.org/10.1007/s11067-024-09632-4

Strongly Convergent Inertial Proximal Point Algorithm Without On-line Rule

Lateef O. Jolaoso, Yekini Shehu and Jen-Chih Yao
Journal of Optimization Theory and Applications 200 (2) 555 (2024)
https://doi.org/10.1007/s10957-023-02355-5

A Modified Forward-Backward Splitting Method for Solving Monotone Inclusions and Fixed Points Problems

Abd-Semii O.-E. Owolabi, Oluwatosin T. Mewomo, Adeolu Taiwo, Lateef O. Jolaoso and Aviv Gibali
Vietnam Journal of Mathematics (2024)
https://doi.org/10.1007/s10013-024-00710-1

Inertial Proximal Point Algorithms for Solving a Class of Split Feasibility Problems

Simeon Reich, Truong Minh Tuyen and Phan Thi Van Huyen
Journal of Optimization Theory and Applications 200 (3) 951 (2024)
https://doi.org/10.1007/s10957-023-02343-9

A recent proximal gradient algorithm for convex minimization problem using double inertial extrapolations

Suparat Kesornprom, Papatsara Inkrong, Uamporn Witthayarat and Prasit Cholamjiak
AIMS Mathematics 9 (7) 18841 (2024)
https://doi.org/10.3934/math.2024917

Asymptotic Behavior of Generalized CR−iteration Algorithm and Application to Common Zeros of Accretive Operators

Aadil Mushtaq, Khaja Moinuddin, Nisha Sharma and Anita Tomar
Studia Universitatis Babes-Bolyai Matematica 69 (2) 399 (2024)
https://doi.org/10.24193/subbmath.2024.2.10

Inertial modified S-iteration method for Cayley inclusion problem and fixed point problem

Shamshad Husain, Mubashshir U. Khairoowala and Mohd Furkan
Journal of Applied Mathematics and Computing 70 (6) 5443 (2024)
https://doi.org/10.1007/s12190-024-02185-2

New Modified Proximal Point Algorithm for Solving Minimization and Common Fixed Point Problem over CAT(κ) Spaces

Chatuphol Khaofong, Phachara Saipara, Suphot Srathonglang and Anantachai Padcharoen
WSEAS TRANSACTIONS ON MATHEMATICS 23 87 (2024)
https://doi.org/10.37394/23206.2024.23.11

Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints

Brendan Keith and Thomas M. Surowiec
Foundations of Computational Mathematics (2024)
https://doi.org/10.1007/s10208-024-09681-8

High-order methods beyond the classical complexity bounds: inexact high-order proximal-point methods

Masoud Ahookhosh and Yurii Nesterov
Mathematical Programming 208 (1-2) 365 (2024)
https://doi.org/10.1007/s10107-023-02041-4

Rates of Convergence and Metastability for Chidume’s Algorithm for the Approximation of Zeros of Accretive Operators in Banach Spaces

Richard Findling and Ulrich Kohlenbach
Numerical Functional Analysis and Optimization 45 (3) 216 (2024)
https://doi.org/10.1080/01630563.2024.2318597

Tight Ergodic Sublinear Convergence Rate of the Relaxed Proximal Point Algorithm for Monotone Variational Inequalities

Guoyong Gu and Junfeng Yang
Journal of Optimization Theory and Applications 202 (1) 373 (2024)
https://doi.org/10.1007/s10957-022-02058-3

Convergence theorems for monotone vector field inclusions and minimization problems in Hadamard spaces

Sani Salisu, Poom Kumam and Songpon Sriwongsa
Analysis and Geometry in Metric Spaces 11 (1) (2023)
https://doi.org/10.1515/agms-2022-0150

A proximal fully parallel splitting method with a relaxation factor for separable convex programming

Jianghua Yin, Jinbao Jian, Xianzhen Jiang, Jiansheng Wu and Guodong Ma
Applied Numerical Mathematics (2023)
https://doi.org/10.1016/j.apnum.2023.09.003

Coercivity and generalized proximal algorithms: application—traveling around the world

E. A. Papa Quiroz, A. Soubeyran and P. R. Oliveira
Annals of Operations Research 321 (1-2) 451 (2023)
https://doi.org/10.1007/s10479-022-04725-0

Generalized proximal point algorithms with correction terms and extrapolation

Yonghong Yao, Olaniyi Samuel Iyiola and Yekini Shehu
Journal of Industrial and Management Optimization (2023)
https://doi.org/10.3934/jimo.2023160

A modified proximal point algorithm in geodesic metric space

Chanchal Garodia, Izhar Uddin, Bahaaeldin Abdalla and Thabet Abdeljawad
AIMS Mathematics 8 (2) 4304 (2023)
https://doi.org/10.3934/math.2023214

Error Bounds and Merit Functions for Exponentially General Variational Inequalities

Muhammad Aslam Noor and Khalida Inayat Noor
Earthline Journal of Mathematical Sciences 369 (2023)
https://doi.org/10.34198/ejms.13223.369397

Relaxed viscosity-type iterative methods with application to compressed sensing

Jitsupa Deepho, Abubakar Adamu, Abdulkarim Hassan Ibrahim and Auwal Bala Abubakar
The Journal of Analysis 31 (3) 1987 (2023)
https://doi.org/10.1007/s41478-022-00547-2

A rank-two relaxed parallel splitting version of the augmented Lagrangian method with step size in (0,2) for separable convex programming

Bingsheng He, Feng Ma, Shengjie Xu and Xiaoming Yuan
Mathematics of Computation 92 (342) 1633 (2023)
https://doi.org/10.1090/mcom/3822

Relaxed-inertial proximal point type algorithms for quasiconvex minimization

S.-M. Grad, F. Lara and R. T. Marcavillaca
Journal of Global Optimization 85 (3) 615 (2023)
https://doi.org/10.1007/s10898-022-01226-z

Оn a proximal point algorithm for solving minimization problem and common fixed point problem in CAT( k ) spaces

C. Garodia and S. Radenovic
Ukrains’kyi Matematychnyi Zhurnal 75 (2) 168 (2023)
https://doi.org/10.37863/umzh.v75i2.6770

Improved Lagrangian-PPA based prediction correction method for linearly constrained convex optimization

Yanfei You and Suhong Jiang
Journal of Industrial and Management Optimization 19 (1) 56 (2023)
https://doi.org/10.3934/jimo.2021174

Image restoration by using a modified proximal point algorithm

Areerat Arunchai, Thidaporn Seangwattana, Kanokwan Sitthithakerngkiet and Kamonrat Sombut
AIMS Mathematics 8 (4) 9557 (2023)
https://doi.org/10.3934/math.2023482

Primal-dual splittings as fixed point iterations in the range of linear operators

Luis Briceño-Arias and Fernando Roldán
Journal of Global Optimization 85 (4) 847 (2023)
https://doi.org/10.1007/s10898-022-01237-w

Inertial proximal point algorithm for the split common solution problem of monotone operator equations

Nguyen Song Ha, Truong Minh Tuyen and Phan Thi Van Huyen
Computational and Applied Mathematics 42 (7) (2023)
https://doi.org/10.1007/s40314-023-02441-4

A unified and tight linear convergence analysis of the relaxed proximal point algorithm

Guoyong Gu and Junfeng Yang
Journal of Industrial and Management Optimization 19 (5) 3742 (2023)
https://doi.org/10.3934/jimo.2022107

A Speed Restart Scheme for a Dynamics with Hessian-Driven Damping

Juan José Maulén and Juan Peypouquet
Journal of Optimization Theory and Applications 199 (2) 831 (2023)
https://doi.org/10.1007/s10957-023-02290-5

Proximal Point Algorithms for Quasiconvex Pseudomonotone Equilibrium Problems

A. Iusem and F. Lara
Journal of Optimization Theory and Applications 193 (1-3) 443 (2022)
https://doi.org/10.1007/s10957-021-01951-7

Proximal Methods Avoid Active Strict Saddles of Weakly Convex Functions

Damek Davis and Dmitriy Drusvyatskiy
Foundations of Computational Mathematics 22 (2) 561 (2022)
https://doi.org/10.1007/s10208-021-09516-w

A modified parallel monotone hybrid algorithm for a finite family of $\mathcal{G}$-nonexpansive mappings apply to a novel signal recovery

Kunrada KANKAM, Prasit CHOLAMJİAK and Watcharaporn CHOLAMJİAK
Results in Nonlinear Analysis 5 (3) 393 (2022)
https://doi.org/10.53006/rna.1122092

Hybrid proximal point algorithm for solving split equilibrium problems and its applications

Maryam SAFARİ, Fridoun MORADLOU and Ali Asghar KHALİLZADEH
Hacettepe Journal of Mathematics and Statistics 51 (4) 932 (2022)
https://doi.org/10.15672/hujms.1023754

An iterative algorithm for minimization and fixed point problems of two families of pseudononspreading mappings in Hadamard spaces

Mujahid Abbas, Chinedu Izuchukwu, Abdul Rahim Khan, Oluwatosin Temitope Mewomo and Godwin C. Ugwunnadi
Novi Sad Journal of Mathematics 54 (1) 155 (2022)
https://doi.org/10.30755/NSJOM.14084

Strong Convergence Theorem for Finding a Common Solution of Convex Minimization and Fixed Point Problems in CAT(0) Spaces

P. V. Ndlovu, L. O. Jolaoso, Maggie Aphane and Christopher Goodrich
Abstract and Applied Analysis 2022 1 (2022)
https://doi.org/10.1155/2022/2960135

Application of ADMM to robust model predictive control problems for the turbofan aero-engine with external disturbances

Min Wang, Jiao Teng, Lei Wang and Junmei Wu
AIMS Mathematics 7 (6) 10759 (2022)
https://doi.org/10.3934/math.2022601

Viscosity Iterative Algorithm] {Accelerated extragradient algorithm for equilibrium and fixed point problems for countable family of certain multi-valued mappings

Hammed Anuoluwapo Abass and Oluwatosin T. Mewomo
Boletim da Sociedade Paranaense de Matemática 41 1 (2022)
https://doi.org/10.5269/bspm.52719

Modified inertial algorithm for solving mixed equilibrium problems in Hadamard spaces

Abdul Rahim Khan, Chinedu Izuchukwu, Maggie Aphane and Godwin Chidi Ugwunnadi
Numerical Algebra, Control and Optimization 12 (4) 859 (2022)
https://doi.org/10.3934/naco.2021039

Strong convergence to a solution of the inclusion problem for a finite family of monotone operators in Hadamard spaces

Sajad Ranjbar
Analele Universitatii "Ovidius" Constanta - Seria Matematica 29 (2) 231 (2021)
https://doi.org/10.2478/auom-2021-0028

An accelerated forward-backward algorithm with a new linesearch for convex minimization problems and its applications

Adisak Hanjing, Pachara Jailoka and Suthep Suantai
AIMS Mathematics 6 (6) 6180 (2021)
https://doi.org/10.3934/math.2021363

New inertial method for generalized split variational inclusion problems

Preeyanuch Chuasuk, Ferdinard Ogbuisi, Yekini Shehu and Prasit Cholamjiak
Journal of Industrial & Management Optimization 17 (6) 3357 (2021)
https://doi.org/10.3934/jimo.2020123

A New Hybrid Iterative Method for Solving Fixed Points Problems for a Finite Family of Multivalued Strictly Pseudo-Contractive Mappings and Convex Minimization Problems in Real Hilbert Spaces

Thierno SOW
Mathematical Sciences and Applications E-Notes 9 (3) 95 (2021)
https://doi.org/10.36753/mathenot.592227

A modified proximal point algorithm for a nearly asymptotically quasi-nonexpansive mapping with an application

Sabiya Khatoon, Izhar Uddin and Metin Basarir
Computational and Applied Mathematics 40 (7) (2021)
https://doi.org/10.1007/s40314-021-01646-9

Generalized split null point of sum of monotone operators in Hilbert spaces

Akindele A. Mebawondu, Hammed A. Abass, Olalwale K. Oyewole, Kazeem O. Aremu and Ojen K. Narain
Demonstratio Mathematica 54 (1) 359 (2021)
https://doi.org/10.1515/dema-2021-0034

Splitting type viscosity methods for inclusion and fixed point problems on Hadamard manifolds

Mohammad Dilshad, Aysha Khan and Mohammad Akram
AIMS Mathematics 6 (5) 5205 (2021)
https://doi.org/10.3934/math.2021309

Forward-backward approximation of nonlinear semigroups in finite and infinite horizon

Andrés Contreras and Juan Peypouquet
Communications on Pure & Applied Analysis 20 (5) 1893 (2021)
https://doi.org/10.3934/cpaa.2021051

Solving Separable Convex Optimization Problem Based on Generalized Proximal Alternating Direction Method of Multipliers

倩雯 殷
Pure Mathematics 11 (04) 485 (2021)
https://doi.org/10.12677/PM.2021.114062

Minimum-Distortion Embedding

Stephen Boyd, Alnur Ali and Akshay Agrawal
Foundations and Trends® in Machine Learning 14 (3) 211 (2021)
https://doi.org/10.1561/2200000090

A modified self‐adaptive extragradient method for pseudomonotone equilibrium problem in a real Hilbert space with applications

Habib ur Rehman, Poom Kumam, Qiao‐Li Dong and Yeol Je Cho
Mathematical Methods in the Applied Sciences 44 (5) 3527 (2021)
https://doi.org/10.1002/mma.6961

Strong convergence theorems for strongly monotone mappings in Banach spaces

Mathew O. Aibinu and Oluwatosin Mewomo
Boletim da Sociedade Paranaense de Matemática 39 (1) 169 (2021)
https://doi.org/10.5269/bspm.37655

Multi-step iterative algorithm for minimization and fixed point problems in p-uniformly convex metric spaces

Kazeem Olalekan Aremu, Chinedu Izuchukwu, Grace Nnenanya Ogwo and Oluwatosin Temitope Mewomo
Journal of Industrial & Management Optimization 17 (4) 2161 (2021)
https://doi.org/10.3934/jimo.2020063

A Modified Proximal Point Algorithm and Some Convergence Results

Shengquan Weng, Dingping Wu, Zengfu Chao and Jen-Chih Yao
Journal of Mathematics 2021 1 (2021)
https://doi.org/10.1155/2021/6951062

A viscosity-type algorithm for an infinitely countable family of (f,g)-generalized k-strictly pseudononspreading mappings in CAT(0) spaces

Kazeem O. Aremu, Hammed Abass, Chinedu Izuchukwu and Oluwatosin T. Mewomo
Analysis 40 (1) 19 (2020)
https://doi.org/10.1515/anly-2018-0078

On the Iterations of a Sequence of Strongly Quasi-Nonexpansive Mappings with Applications

Hadi Khatibzadeh and Vahid Mohebbi
Numerical Functional Analysis and Optimization 41 (3) 231 (2020)
https://doi.org/10.1080/01630563.2019.1626419

A Weak Convergence Self-Adaptive Method for Solving Pseudomonotone Equilibrium Problems in a Real Hilbert Space

Pasakorn Yordsorn, Poom Kumam, Habib ur Rehman and Abdulkarim Hassan Ibrahim
Mathematics 8 (7) 1165 (2020)
https://doi.org/10.3390/math8071165

Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem

Habib ur Rehman, Poom Kumam, Ioannis K. Argyros, Wejdan Deebani and Wiyada Kumam
Symmetry 12 (4) 503 (2020)
https://doi.org/10.3390/sym12040503

Strong Convergence of an Inexact Proximal Point Algorithm in a Banach Space

Behzad Djafari Rouhani and Vahid Mohebbi
Journal of Optimization Theory and Applications 186 (1) 134 (2020)
https://doi.org/10.1007/s10957-020-01695-w

Iterative algorithm for computing fixed points of demicontractive and zeros points of multivalued accretive operators in certain Banach spaces with application

Thierno SOW
Advances in the Theory of Nonlinear Analysis and its Application 4 (2) 100 (2020)
https://doi.org/10.31197/atnaa.655466

On the strong convergence of the proximal point algorithm with an application to Hammerstein euations

C. E. Chidume, A. Adamu, M. S. Minjibir and U. V. Nnyaba
Journal of Fixed Point Theory and Applications 22 (3) (2020)
https://doi.org/10.1007/s11784-020-00793-6

Inertial Optimization Based Two-Step Methods for Solving Equilibrium Problems with Applications in Variational Inequality Problems and Growth Control Equilibrium Models

Habib ur Rehman, Poom Kumam, Meshal Shutaywi, Nasser Aedh Alreshidi and Wiyada Kumam
Energies 13 (12) 3292 (2020)
https://doi.org/10.3390/en13123292

The extragradient algorithm with inertial effects extended to equilibrium problems

Habib ur Rehman, Poom Kumam, Auwal Bala Abubakar and Yeol Je Cho
Computational and Applied Mathematics 39 (2) (2020)
https://doi.org/10.1007/s40314-020-1093-0

Handbook of Variational Methods for Nonlinear Geometric Data

Orizon P. Ferreira, Maurício S. Louzeiro and Leandro F. Prudente
Handbook of Variational Methods for Nonlinear Geometric Data 499 (2020)
https://doi.org/10.1007/978-3-030-31351-7_18

Strong convergence of an inertial extrapolation method for a split system of minimization problems

Anteneh Getachew Gebrie and Rabian Wangkeeree
Demonstratio Mathematica 53 (1) 332 (2020)
https://doi.org/10.1515/dema-2020-0025

Proximal Gradient Method for Solving Bilevel Optimization Problems

Seifu Endris Yimer, Poom Kumam and Anteneh Getachew Gebrie
Mathematical and Computational Applications 25 (4) 66 (2020)
https://doi.org/10.3390/mca25040066

AN INERTIAL SHRINKING PROJECTION ALGORITHM FOR SPLIT COMMON FIXED POINT PROBLEMS

Zheng Zhou, Bing Tan and Songxiao Li
Journal of Applied Analysis & Computation 10 (5) 2104 (2020)
https://doi.org/10.11948/20190330

A modified proximal point algorithm for solving variational inclusion problem in real Hilbert spaces

Thierno M. M. Sow
e-Journal of Analysis and Applied Mathematics 2020 (1) 28 (2020)
https://doi.org/10.2478/ejaam-2020-0003

The Inertial Sub-Gradient Extra-Gradient Method for a Class of Pseudo-Monotone Equilibrium Problems

Habib ur Rehman, Poom Kumam, Wiyada Kumam, Meshal Shutaywi and Wachirapong Jirakitpuwapat
Symmetry 12 (3) 463 (2020)
https://doi.org/10.3390/sym12030463

Computational Mathematics and Variational Analysis

Maede Ramazannejad, Mohsen Alimohammady and Carlo Cattani
Springer Optimization and Its Applications, Computational Mathematics and Variational Analysis 159 381 (2020)
https://doi.org/10.1007/978-3-030-44625-3_21

The strong convergence of a proximal point algorithm in complete CAT(0) metric spaces

Mohsen TAHERNİA, Sirous MORADİ and Somayeh JAFARİ
Hacettepe Journal of Mathematics and Statistics 49 (1) 399 (2020)
https://doi.org/10.15672/hujms.470975

STRONG CONVERGENCE OF A GENERAL VISCOSITY EXPLICIT RULE FOR THE SUM OF TWO MONOTONE OPERATORS IN HILBERT SPACES

Prasit Cholamjiak, Suthep Suantai and Pongsakorn Sunthrayuth
Journal of Applied Analysis & Computation 9 (6) 2137 (2019)
https://doi.org/10.11948/20180191

A prediction–correction-based primal–dual hybrid gradient method for linearly constrained convex minimization

Feng Ma, Yiming Bi and Bin Gao
Numerical Algorithms 82 (2) 641 (2019)
https://doi.org/10.1007/s11075-018-0618-8

A Halpern-Type Iteration Method for Bregman Nonspreading Mapping and Monotone Operators in Reflexive Banach Spaces

F. U. Ogbuisi, L. O. Jolaoso and F. O. Isiogugu
Journal of Mathematics 2019 1 (2019)
https://doi.org/10.1155/2019/8059135

Halpern- and Mann-Type Algorithms for Fixed Points and Inclusion Problems on Hadamard Manifolds

Suliman Al-Homidan, Qamrul Hasan Ansari and Feeroz Babu
Numerical Functional Analysis and Optimization 40 (6) 621 (2019)
https://doi.org/10.1080/01630563.2018.1553887

Asymptotic Equivalence of Evolution Equations Governed by Cocoercive Operators and Their Forward Discretizations

Andrés Contreras and Juan Peypouquet
Journal of Optimization Theory and Applications 182 (1) 30 (2019)
https://doi.org/10.1007/s10957-018-1332-3

Mathematical Analysis and Applications

Maede Ramazannejad, Mohsen Alimohammady and Carlo Cattani
Springer Optimization and Its Applications, Mathematical Analysis and Applications 154 459 (2019)
https://doi.org/10.1007/978-3-030-31339-5_17

Weak convergence of explicit extragradient algorithms for solving equilibirum problems

Habib ur Rehman, Poom Kumam, Yeol Je Cho and Pasakorn Yordsorn
Journal of Inequalities and Applications 2019 (1) (2019)
https://doi.org/10.1186/s13660-019-2233-1

Proximal bundle methods based on approximate subgradients for solving Lagrangian duals of minimax fractional programs

H. Boualam and A. Roubi
Journal of Global Optimization 74 (2) 255 (2019)
https://doi.org/10.1007/s10898-019-00757-2

A viscosity iterative technique for equilibrium and fixed point problems in a Hadamard space

C. Izuchukwu, K. O. Aremu, A. A. Mebawondu and O. T. Mewomo
Applied General Topology 20 (1) 193 (2019)
https://doi.org/10.4995/agt.2019.10635