Q1742546
type: Item
instance of: scholarly article
title: A new algorithm for variational inequality problems with a generalized phi-strongly monotone map over the set of common fixed points of a finite family of quasi-phi-nonexpansive maps, with applications
zbMATH Open document ID: 1388.49006
author: U. V. Nnyaba
author: O. M. Romanus
author: C. E. Chidume
published in: Journal of Fixed Point Theory and Applications
publication date: 2018-04-11T00:00:00Z
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H05
zbMATH DE Number: 6858721
zbMATH Keywords: generalized \(\Phi \)-strongly monotone mapping
zbMATH Keywords: strong convergence
zbMATH Keywords: \(J\)-nonexpansive maps
zbMATH Keywords: variational inequality problem
MaRDI profile type: Publication
full work available at URL: s11784-018-0502-0
OpenAlex ID: W2793089750
cites work: Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
cites work: On the projection methods for fixed point problems
cites work: Nonlinear Ill-posed Problems of Monotone Type
cites work: Convexity and Optimization in Banach Spaces
cites work: Nonlinear monotone operators and convex sets in Banach spaces
cites work: Q4163944
cites work: Geometric properties of Banach spaces and nonlinear iterations
cites work: Approximation of fixed points of nonexpansive mappings and solutions of variational inequalities
cites work: Convergence of hybrid steepest descent method for variational inequalities in Banach spaces
cites work: Approximation of zeros of bounded maximal monotone mappings, solutions of Hammerstein integral equations and convex minimization problems
cites work: Q3322631
cites work: Convex programming in Hilbert space
cites work: On some non-linear elliptic differential functional equations
cites work: Strong Convergence of a Proximal-Type Algorithm in a Banach Space
cites work: Q4188284
cites work: Some developments in general variational inequalities
cites work: Convergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappings
cites work: Q4894797
cites work: A modified Mann iterative scheme by generalized \(f\)-projection for a countable family of relatively quasi-nonexpansive mappings and a system of generalized mixed equilibrium problems
cites work: Equivalence of Variational Inequalities with Wiener-Hopf Equations
cites work: Q5737280
cites work: Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
cites work: An iteration method for nonexpansive mappings in Hilbert spaces
cites work: Convergence of hybrid steepest-descent methods for variational inequalities
cites work: The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings
cites work: Q4409551
cites work: Variational Inequalities with Generalized Monotone Operators
cites work: Q3706043
cites work: Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
DOI: 10.1007/S11784-018-0502-0
label: A new algorithm for variational inequality problems with a generalized phi-strongly monotone map over the set of common fixed points of a finite family of quasi-phi-nonexpansive maps, with applications
description: scientific article; zbMATH DE number 6858721