A shrinking projection algorithm for variational inequality problems with a Lipschitz monotone mapping and fixed point problems of relatively weak nonexpansive mappings

doi:10.23952/asvao.3.2021.1.05

A shrinking projection algorithm for variational inequality problems with a Lipschitz monotone mapping and fixed point problems of relatively weak nonexpansive mappings

Applied Set-Valued Analysis and Optimization ◽

10.23952/asvao.3.2021.1.05 ◽

2021 ◽

Vol 3 (1) ◽

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Nonexpansive Mappings ◽

Monotone Mapping ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Projection Algorithm ◽

Shrinking Projection Algorithm

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Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces

Journal of Global Optimization ◽

10.1007/s10898-012-9883-6 ◽

2012 ◽

Vol 55 (2) ◽

pp. 437-457 ◽

Cited By ~ 9

Author(s):

Gang Cai ◽

Shangquan Bu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Infinite Family ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Extragradient Methods

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The modified viscosity implicit rules for variational inequality problems and fixed point problems of nonexpansive mappings in Hilbert spaces

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas ◽

10.1007/s13398-019-00716-2 ◽

2019 ◽

Vol 113 (4) ◽

pp. 3545-3562 ◽

Cited By ~ 1

Author(s):

Gang Cai ◽

Yekini Shehu ◽

Olaniyi Samuel Iyiola

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Hilbert Spaces ◽

Nonexpansive Mappings ◽

Variational Inequality Problems ◽

Fixed Point Problems

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Split hierarchical variational inequality problems and fixed point problems for nonexpansive mappings

Journal of Inequalities and Applications ◽

10.1186/s13660-015-0793-2 ◽

2015 ◽

Vol 2015 (1) ◽

Cited By ~ 1

Author(s):

Qamrul Hasan Ansari ◽

Aisha Rehan ◽

Ching-Feng Wen

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Nonexpansive Mappings ◽

Variational Inequality Problems ◽

Fixed Point Problems

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STRONG CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS, FIXED POINT PROBLEMS OF QUASI-NONEXPANSIVE MAPPINGS AND VARIATIONAL INEQUALITY PROBLEMS

Journal of applied mathematics & informatics ◽

10.14317/jami.2013.813 ◽

2013 ◽

Vol 31 (5_6) ◽

pp. 813-823

Author(s):

Meng Li ◽

Qiumei Sun ◽

Haiyun Zhou

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Convergence Theorems

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Viscosity iterative algorithms for fixed point problems of asymptotically nonexpansive mappings in the intermediate sense and variational inequality problems in Banach spaces

Numerical Algorithms ◽

10.1007/s11075-017-0269-1 ◽

2017 ◽

Vol 76 (2) ◽

pp. 521-553 ◽

Cited By ~ 4

Author(s):

Gang Cai ◽

Yekini Shehu ◽

Olaniyi Samuel Iyiola

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Iterative Algorithms ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Iterative Methods for Finding Common Solution of Generalized Equilibrium Problems and Variational Inequality Problems and Fixed Point Problems of a Finite Family of Nonexpansive Mappings

Fixed Point Theory and Applications ◽

10.1155/2010/836714 ◽

2010 ◽

Vol 2010 ◽

pp. 1-29 ◽

Cited By ~ 4

Author(s):

Atid Kangtunyakarn

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Iterative Methods ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Finite Family ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Common Solution ◽

Generalized Equilibrium

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New iterative scheme with strict pseudo-contractions and multivalued nonexpansive mappings for fixed point problems and variational inequality problems

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2013-213 ◽

2013 ◽

Vol 2013 (1) ◽

pp. 213 ◽

Cited By ~ 1

Author(s):

J Vahidi ◽

A Latif ◽

M Eslamian

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Iterative Scheme ◽

Nonexpansive Mappings ◽

Variational Inequality Problems ◽

Fixed Point Problems

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A general iterative method for solving equilibrium problems, variational inequality problems and fixed point problems of an infinite family of nonexpansive mappings

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-009-0330-x ◽

2009 ◽

Vol 34 (1-2) ◽

pp. 407-439 ◽

Cited By ~ 14

Author(s):

Chaichana Jaiboon ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Iterative Method ◽

Equilibrium Problems ◽

Nonexpansive Mappings ◽

Infinite Family ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

General Iterative Method

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Analysis of two variants of an inertial projection algorithm for finding the minimum-norm solutions of variational inequality and fixed point problems

Numerical Algorithms ◽

10.1007/s11075-021-01169-8 ◽

2021 ◽

Author(s):

Ha Manh Linh ◽

Simeon Reich ◽

Duong Viet Thong ◽

Vu Tien Dung ◽

Nguyen Phuong Lan

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Fixed Point Problems ◽

Projection Algorithm ◽

Minimum Norm

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Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.03.036 ◽

2010 ◽

Vol 59 (11) ◽

pp. 3472-3480 ◽

Cited By ~ 62

Author(s):

Yonghong Yao ◽

Yeong-Cheng Liou ◽

Shin Min Kang

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Common Elements

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