Strong Convergence of A Hybrid Method for Infinite Family of Nonexpansive Mapping and Variational Inequality

DOI10.22342/jims.27.1.955.90-102zbMath1494.47115OpenAlexW3142454382MaRDI QIDQ5009131

Savita Rathee, Monika Swami

Publication date: 19 August 2021

Published in: Journal of the Indonesian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22342/jims.27.1.955.90-102

zbMATH Keywords

strong convergencenonexpansive mappingprojection methodvariational inequality problemextragradient methodfixed point problem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems
• Weak convergence of an iterative method for pseudomonotone variational inequalities and fixed-point problems
• Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
• Strong convergence theorems for an infinite family of nonexpansive mappings in Banach spaces
• Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
• Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Strong convergence to common fixed points of infinite nonexpansive mappings and applications

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