S-iteration process of Halpern-type for common solutions of nonexpansive mappings and monotone variational inequalities

DOI10.2298/FIL1906727SzbMath1496.47102MaRDI QIDQ5080797

Daya Ram Sahu, Ajeet Kumar, Ching-Feng Wen

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

strong convergencevariational inequalitynonexpansive mappinginverse strongly monotone mappingS-iteration processmetric projection mappingHalpern iteration process

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Inertial iterative algorithms for common solution of variational inequality and system of variational inequalities problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence analysis of an iterative algorithm for monotone operators
• Semilocal convergence analysis of \(S\)-iteration process of Newton-Kantorovich like in Banach spaces
• Some iterative methods for finding fixed points and for solving constrained convex minimization problems
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
• Solving variational inequalities involving nonexpansive type mappings
• A new iteration method for nonexpansive mappings and monotone mappings in Hilbert spaces
• Viscosity approximation methods for nonexpansive mappings and monotone mappings
• Strong convergence theorems by hybrid methods for a finite family of nonexpansive mappings and inverse-strongly monotone mappings
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• An iterative approach to quadratic optimization
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Convergence analysis of parallel \(S\)-iteration process for system of generalized variational inequalities
• Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
• A class of projection and contraction methods for monotone variational inequalities
• Variable KM-like algorithms for fixed point problems and split feasibility problems
• Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
• Geometric properties of Banach spaces and nonlinear iterations
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Convergence of Inexact Mann Iterations Generated by Nearly Nonexpansive Sequences and Applications
• Approximating Fixed Points of Generalized α-Nonexpansive Mappings in Banach Spaces
• Monotone Operators and the Proximal Point Algorithm
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• Two simple relaxed perturbed extragradient methods for solving variational inequalities in Euclidean spaces
• Modified Projection-Type Methods for Monotone Variational Inequalities
• Fixed Points by a New Iteration Method
• Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities
• Fixed Point Theory for Lipschitzian-type Mappings with Applications
• Fixed points of nonexpanding maps
• Mean Value Methods in Iteration
• Projection methods, algorithms, and a new system of nonlinear variational inequalities

This page was built for publication: S-iteration process of Halpern-type for common solutions of nonexpansive mappings and monotone variational inequalities