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:

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

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

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 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

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 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

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

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

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

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

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

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

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

On Mixed Equilibrium Problems in Hadamard Spaces

Chinedu Izuchukwu, Kazeem Olalekan Aremu, Olawale Kazeem Oyewole, Oluwatosin Temitope Mewomo and Safeer Hussain Khan
Journal of Mathematics 2019 1 (2019)
https://doi.org/10.1155/2019/3210649

A Hybrid Proximal Algorithm for the Sum of Monotone Operators with Multivalued Mappings

N. Kaewyong, L. Kittiratanawasin, C. Pukdeboon and K. Sitthithakerngkiet
Journal of Function Spaces 2018 1 (2018)
https://doi.org/10.1155/2018/2409375

Two proximal splitting methods for multi-block separable programming with applications to stable principal component pursuit

Min Sun, Hongchun Sun and Yiju Wang
Journal of Applied Mathematics and Computing 56 (1-2) 411 (2018)
https://doi.org/10.1007/s12190-017-1080-9

On the proximal point algorithm and demimetric mappings in CAT(0) spaces

Kazeem O. Aremu, Chinedu Izuchukwu, Godwin C. Ugwunnadi and Oluwatosin T. Mewomo
Demonstratio Mathematica 51 (1) 277 (2018)
https://doi.org/10.1515/dema-2018-0022

L1-norm based nonlinear reconstruction improves quantitative accuracy of spectral diffuse optical tomography

Wenqi Lu, Daniel Lighter and Iain B. Styles
Biomedical Optics Express 9 (4) 1423 (2018)
https://doi.org/10.1364/BOE.9.001423

Strong and $$\Delta $$ Δ -Convergence to a Zero of a Monotone Operator in CAT(0) Spaces

Sajad Ranjbar and Hadi Khatibzadeh
Mediterranean Journal of Mathematics 14 (2) (2017)
https://doi.org/10.1007/s00009-017-0885-y

WEAK CONVERGENCE OF A SPLITTING ALGORITHM IN HILBERT SPACES

Sun Young Cho, B. A. Bin Dehaish and Xiaolong Qin
Journal of Applied Analysis & Computation 7 (2) 427 (2017)
https://doi.org/10.11948/2017027

Convergence Rate Analysis for the Alternating Direction Method of Multipliers with a Substitution Procedure for Separable Convex Programming

Bingsheng He, Min Tao and Xiaoming Yuan
Mathematics of Operations Research 42 (3) 662 (2017)
https://doi.org/10.1287/moor.2016.0822

A survey on operator splitting and decomposition of convex programs

Arnaud Lenoir and Philippe Mahey
RAIRO - Operations Research 51 (1) 17 (2017)
https://doi.org/10.1051/ro/2015065

Halpern-type proximal point algorithm in complete CAT(0) metric spaces

Mohammad Taghi Heydari and Sajad Ranjbar
Analele Universitatii "Ovidius" Constanta - Seria Matematica 24 (3) 141 (2016)
https://doi.org/10.1515/auom-2016-0052

A proximal method with logarithmic barrier for nonlinear complementarity problems

Rolando Gárciga Otero and Alfredo Iusem
Journal of Global Optimization 64 (4) 663 (2016)
https://doi.org/10.1007/s10898-015-0266-7

Splitting Methods in Communication, Imaging, Science, and Engineering

Tom Goldstein and Xiaoqun Zhang
Scientific Computation, Splitting Methods in Communication, Imaging, Science, and Engineering 301 (2016)
https://doi.org/10.1007/978-3-319-41589-5_9

Proximal Algorithms in Statistics and Machine Learning

Nicholas G. Polson, James G. Scott and Brandon T. Willard
Statistical Science 30 (4) (2015)
https://doi.org/10.1214/15-STS530

Inexact Inertial Proximal Algorithm for Maximal Monotone Operators

Hadi Khatibzadeh and Sajad Ranjbar
Analele Universitatii "Ovidius" Constanta - Seria Matematica 23 (2) 133 (2015)
https://doi.org/10.1515/auom-2015-0031

Finite Termination of Inexact Proximal Point Algorithms in Hilbert Spaces

J. H. Wang, C. Li and J.-C. Yao
Journal of Optimization Theory and Applications 166 (1) 188 (2015)
https://doi.org/10.1007/s10957-014-0689-1

Algebraic rules for quadratic regularization of Newton’s method

Elizabeth W. Karas, Sandra A. Santos and Benar F. Svaiter
Computational Optimization and Applications 60 (2) 343 (2015)
https://doi.org/10.1007/s10589-014-9671-y

Convergence analysis of inexact proximal point algorithms on Hadamard manifolds

Jinhua Wang, Chong Li, Genaro Lopez and Jen-Chih Yao
Journal of Global Optimization 61 (3) 553 (2015)
https://doi.org/10.1007/s10898-014-0182-2

Splitting Methods with Variable Metric for Kurdyka–Łojasiewicz Functions and General Convergence Rates

Pierre Frankel, Guillaume Garrigos and Juan Peypouquet
Journal of Optimization Theory and Applications 165 (3) 874 (2015)
https://doi.org/10.1007/s10957-014-0642-3

A class of Dantzig–Wolfe type decomposition methods for variational inequality problems

Juan Pablo Luna, Claudia Sagastizábal and Mikhail Solodov
Mathematical Programming 143 (1-2) 177 (2014)
https://doi.org/10.1007/s10107-012-0599-7

Sensitivity Analysis of the Proximal‐Based Parallel Decomposition Methods

Feng Ma, Mingfang Ni, Lei Zhu, Zhanke Yu and Dongdong Ge
Mathematical Problems in Engineering 2014 (1) (2014)
https://doi.org/10.1155/2014/891017

A Strong Convergence Algorithm for the Two-Operator Split Common Fixed Point Problem in Hilbert Spaces

Chung-Chien Hong and Young-Ye Huang
Abstract and Applied Analysis 2014 1 (2014)
https://doi.org/10.1155/2014/350479

Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces

H. Zegeye and N. Shahzad
Abstract and Applied Analysis 2013 1 (2013)
https://doi.org/10.1155/2013/232170

Particle Swarm Optimization-Proximal Point Algorithm for Nonlinear Complementarity Problems

Chai Jun-Feng and Wang Shu-Yan
Mathematical Problems in Engineering 2013 1 (2013)
https://doi.org/10.1155/2013/808965

A proximal point algorithm revisit on the alternating direction method of multipliers

XingJu Cai, GuoYong Gu, BingSheng He and XiaoMing Yuan
Science China Mathematics 56 (10) 2179 (2013)
https://doi.org/10.1007/s11425-013-4683-0

A Barrier-Based Smoothing Proximal Point Algorithm for NCPs over Closed Convex Cones

Chek Beng Chua and Zhen Li
SIAM Journal on Optimization 23 (2) 745 (2013)
https://doi.org/10.1137/12087565X

A Proximal Point Algorithm for Log-Determinant Optimization with Group Lasso Regularization

Junfeng Yang, Defeng Sun and Kim-Chuan Toh
SIAM Journal on Optimization 23 (2) 857 (2013)
https://doi.org/10.1137/120864192

A New Implementable Prediction-Correction Method for Monotone Variational Inequalities with Separable Structure

Feng Ma, Mingfang Ni and Zhanke Yu
Abstract and Applied Analysis 2013 1 (2013)
https://doi.org/10.1155/2013/941861

Strong Convergence Theorems for Zeros of Bounded Maximal Monotone Nonlinear Operators

C. E. Chidume, N. Djitté and Khalida Inayat Noor
Abstract and Applied Analysis 2012 (1) (2012)
https://doi.org/10.1155/2012/681348

Handbook on Semidefinite, Conic and Polynomial Optimization

Didier Henrion and Jérôme Malick
International Series in Operations Research & Management Science, Handbook on Semidefinite, Conic and Polynomial Optimization 166 565 (2012)
https://doi.org/10.1007/978-1-4614-0769-0_20

Full convergence of the proximal point method for quasiconvex functions on Hadamard manifolds

Erik A. Papa Quiroz and P. Roberto Oliveira
ESAIM: Control, Optimisation and Calculus of Variations 18 (2) 483 (2012)
https://doi.org/10.1051/cocv/2011102

Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems

Kamonrat Nammanee, Suthep Suantai, Prasit Cholamjiak and Rudong Chen
Journal of Applied Mathematics 2012 (1) (2012)
https://doi.org/10.1155/2012/804538

Asymptotics for Some Proximal-like Method Involving Inertia and Memory Aspects

Alexandre Cabot and Pierre Frankel
Set-Valued and Variational Analysis 19 (1) 59 (2011)
https://doi.org/10.1007/s11228-010-0140-1

Fast minimization methods for solving constrained total-variation superresolution image reconstruction

Michael Ng, Fan Wang and Xiao-Ming Yuan
Multidimensional Systems and Signal Processing 22 (1-3) 259 (2011)
https://doi.org/10.1007/s11045-010-0137-9

Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces

Simeon Reich and Shoham Sabach
Numerical Functional Analysis and Optimization 31 (1) 22 (2010)
https://doi.org/10.1080/01630560903499852

A proximal method with separable Bregman distances for quasiconvex minimization over the nonnegative orthant

Sissy da S. Souza, P.R. Oliveira, J.X. da Cruz Neto and A. Soubeyran
European Journal of Operational Research 201 (2) 365 (2010)
https://doi.org/10.1016/j.ejor.2009.03.045

SHRINKING PROJECTION METHOD OF PROXIMAL-TYPE FOR A GENERALIZED EQUILIBRIUM PROBLEM, A MAXIMAL MONOTONE OPERATOR AND A PAIR OF RELATIVELY NONEXPANSIVE MAPPINGS

Yeong-Cheng Liou
Taiwanese Journal of Mathematics 14 (2) (2010)
https://doi.org/10.11650/twjm/1500405805

Regularization Methods for Semidefinite Programming

Jérôme Malick, Janez Povh, Franz Rendl and Angelika Wiegele
SIAM Journal on Optimization 20 (1) 336 (2009)
https://doi.org/10.1137/070704575

Super-Relaxed ("Equation missing" )-Proximal Point Algorithms, Relaxed ("Equation missing" )-Proximal Point Algorithms, Linear Convergence Analysis, and Nonlinear Variational Inclusions

Ravi P. Agarwal and Ram U. Verma
Fixed Point Theory and Applications 2009 (1) (2009)
https://doi.org/10.1155/2009/957407

HYBRID PROXIMAL POINT ALGORITHMS FOR SOLVING CONSTRAINED MINIMIZATION PROBLEMS IN BANACH SPACES

Lu-Chuan Ceng, Shuechin Huang and Yeong-Cheng Liou
Taiwanese Journal of Mathematics 13 (2B) (2009)
https://doi.org/10.11650/twjm/1500405406

On the convergence of the proximal algorithm for nonsmooth functions involving analytic features

Hedy Attouch and Jérôme Bolte
Mathematical Programming 116 (1-2) 5 (2009)
https://doi.org/10.1007/s10107-007-0133-5

A hybrid entropic proximal decomposition method with self-adaptive strategy for solving variational inequality problems

Deren Han
Computers & Mathematics with Applications 55 (1) 101 (2008)
https://doi.org/10.1016/j.camwa.2007.03.015

PROXIMAL POINT ALGORITHMS AND FOUR RESOLVENTS OF NONLINEAR OPERATORS OF MONOTONE TYPE IN BANACH SPACES

Wataru Takahashi
Taiwanese Journal of Mathematics 12 (8) (2008)
https://doi.org/10.11650/twjm/1500405125

A Class of Inexact Variable Metric Proximal Point Algorithms

L. A. Parente, P. A. Lotito and M. V. Solodov
SIAM Journal on Optimization 19 (1) 240 (2008)
https://doi.org/10.1137/070688146

GENERALIZED IMPLICIT HYBRID PROJECTION-PROXIMAL POINT ALGORITHM FOR MAXIMAL MONOTONE OPERATORS IN HILBERT SPACE

Lu-Chuan Ceng and Jen-Chih Yao
Taiwanese Journal of Mathematics 12 (3) (2008)
https://doi.org/10.11650/twjm/1500602433

A heuristic algorithm for constrained multi-source Weber problem – The variational inequality approach

Jian-Lin Jiang and Xiao-Ming Yuan
European Journal of Operational Research 187 (2) 357 (2008)
https://doi.org/10.1016/j.ejor.2007.02.043

Rescaled proximal methods for linearly constrained convex problems

Paulo J.S. Silva and Carlos Humes
RAIRO - Operations Research 41 (4) 367 (2007)
https://doi.org/10.1051/ro:2007032

Algorithmic Applications in Management

Z. Oscar Cornejo
Lecture Notes in Computer Science, Algorithmic Applications in Management 3521 26 (2005)
https://doi.org/10.1007/11496199_5

Variational Analysis and Applications

Ya. I. Alber, D. Butnariu and G. Kassay
Nonconvex Optimization and Its Applications, Variational Analysis and Applications 79 89 (2005)
https://doi.org/10.1007/0-387-24276-7_9

Interior Gradient and Epsilon-Subgradient Descent Methods for Constrained Convex Minimization

A. Auslender and M. Teboulle
Mathematics of Operations Research 29 (1) 1 (2004)
https://doi.org/10.1287/moor.1030.0062

Convergence of the Approximate Auxiliary Problem Method for Solving Generalized Variational Inequalities

T. T. Hue, J. J. Strodiot and V. H. Nguyen
Journal of Optimization Theory and Applications 121 (1) 119 (2004)
https://doi.org/10.1023/B:JOTA.0000026134.57920.e1

A class of decomposition methods for convex optimization and monotone variational inclusions via the hybrid inexact proximal point framework

M. V. Solodov
Optimization Methods and Software 19 (5) 557 (2004)
https://doi.org/10.1080/1055678042000218957

Equilibrium Problems and Variational Models

Alfred Auslender and Marc Teboulle
Nonconvex Optimization and Its Applications, Equilibrium Problems and Variational Models 68 19 (2003)
https://doi.org/10.1007/978-1-4613-0239-1_2

Convergence of Prox-Regularization Methods for Generalized Fractional Programming

Ahmed Roubi
RAIRO - Operations Research 36 (1) 73 (2002)
https://doi.org/10.1051/ro:2002006

A Relative Error Tolerance for a Family of Generalized Proximal Point Methods

Regina Sandra Burachik and B. F. Svaiter
Mathematics of Operations Research 26 (4) 816 (2001)
https://doi.org/10.1287/moor.26.4.816.10011

Inherently Parallel Algorithms in Feasibility and Optimization and their Applications

Claudia A. Sagastizábal and Mikhail V. Solodov
Studies in Computational Mathematics, Inherently Parallel Algorithms in Feasibility and Optimization and their Applications 8 441 (2001)
https://doi.org/10.1016/S1570-579X(01)80026-4

Robustness of the Hybrid Extragradient Proximal-Point Algorithm

R. S. Burachik, S. Scheimberg and B. F. Svaiter
Journal of Optimization Theory and Applications 111 (1) 117 (2001)
https://doi.org/10.1023/A:1017523331361

ITERATIVE METHODS FOR APPROXIMATION OF FIXED POINTS AND THEIR APPLICATIONS

Wataru Takahashi
Journal of the Operations Research Society of Japan 43 (1) 87 (2000)
https://doi.org/10.15807/jorsj.43.87