Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications
type: Item
instance of: scholarly article
title: Multivariate systems of nonexpansive operator equations and iterative algorithms for solving them in uniformly convex and uniformly smooth Banach spaces with applications
author: Yongchun Xu
author: Jinyu Guan
author: Yanxia Tang
author: Yongfu Su
published in: Journal of Inequalities and Applications
publication date: 2018-02-19T00:00:00Z
Mathematics Subject Classification ID: 47-XX
zbMATH DE Number: 6840636
zbMATH Keywords: uniformly convex
zbMATH Keywords: uniformly smooth
zbMATH Keywords: Banach space
zbMATH Keywords: systems of nonexpansive operator equations
zbMATH Keywords: solution
zbMATH Keywords: iterative algorithms
MaRDI profile type: Publication
full work available at URL: s13660-018-1629-7
OpenAlex ID: W2804467767
Wikidata QID: Q50328536
cites work: Q5376280
cites work: STRONG CONVERGENCE ANALYSIS OF A HYBRID ALGORITHM FOR NONLINEAR OPERATORS IN A BANACH SPACE
cites work: System of N fixed point operator equations with N-pseudo-contractive mapping in reflexive Banach spaces
cites work: Multivariate coupled fixed point theorems on ordered partial metric spaces
cites work: Multivariate best proximity point theorems in metric spaces
cites work: Multivariate fixed point theorems for contractions and nonexpansive mappings with applications
cites work: Multivariate contraction mapping principle with the error estimate formulas in locally convex topological vector spaces and application
cites work: A kind of system of multivariate variational inequalities and the existence theorem of solutions
cites work: Fixed Point Theory for Lipschitzian-type Mappings with Applications
cites work: Mean Value Methods in Iteration
cites work: Weak convergence theorems for nonexpansive mappings in Banach spaces
cites work: General iteration algorithm and convergence rate optimal model for common fixed points of nonexpansive mappings
cites work: Fixed points of nonexpanding maps
cites work: Q4119693
cites work: Approximation of fixed points of nonexpansive mappings
cites work: Strong convergence theorems for resolvents of accretive operators in Banach spaces
cites work: Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
cites work: Iterative Algorithms for Nonlinear Operators
cites work: Coupled fixed points for mixed monotone condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming
cites work: Coupled fixed point theorems for symmetric contractions in \(b\)-metric spaces with applications to operator equation systems
cites work: The fixed point problem for systems of coordinate-wise uniformly monotone operators and applications
cites work: A study of a general system of operator equations in \(b\)-metric spaces via the vector approach in fixed point theory
cites work: Fixed point theorems in partially ordered metric spaces and applications
cites work: Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
DOI: 10.1186/S13660-018-1629-7
description: scientific article; zbMATH DE number 6840636