Fixed point results for generalized nonexpansive and Suzuki mappings with application in \(L^1 (\Omega, \Sigma, \mu)\)
type: Item
instance of: scholarly article
title: Fixed point results for generalized nonexpansive and Suzuki mappings with application in \(L^1 (\Omega, \Sigma, \mu)\)
zbMATH Open document ID: 1483.54028
DOI: 10.12775/TMNA.2021.021
author: Abdelkader Dehici
author: Najeh Redjel
author: Sami Atailia
published in: Topological Methods in Nonlinear Analysis
publication date: 2022-02-15T00:00:00Z
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 7474130
zbMATH Keywords: metric space
zbMATH Keywords: Suzuki mapping
zbMATH Keywords: generalized nonexpansive mapping
zbMATH Keywords: Banach space
zbMATH Keywords: dual Banach space
zbMATH Keywords: fixed point
zbMATH Keywords: orthogonality
zbMATH Keywords: approximately symmetric orthogonality
zbMATH Keywords: \(weak^{\star}\) approximately symmetric orthogonality
zbMATH Keywords: uniformly approximately symmetric orthogonality
zbMATH Keywords: uniformly \(weak^{\star}\) approximately symmetric orthogonality
zbMATH Keywords: almost fixed point sequence
zbMATH Keywords: weakly compact convex subset
zbMATH Keywords: \(weak^{\star}\) compact convex subset
zbMATH Keywords: Banach space \(L^1 (\Omega
zbMATH Keywords: \Sigma
zbMATH Keywords: \mu)\)
zbMATH Keywords: \(L^0\)-closed
MaRDI profile type: Publication
cites work: A Fixed Point Free Nonexpansive Map
cites work: Some fixed point results for generalized contractions of Suzuki type in Banach spaces
cites work: Q3678242
cites work: Normal structure in Banach spaces
cites work: Q3483890
cites work: Points fixes et théorèmes ergodiques dans les espaces L¹(E)
cites work: The fixed point property for some generalized nonexpansive mappings and renormings
cites work: On the Suzuki nonexpansive-type mappings
cites work: Orthogonality in linear metric spaces
cites work: A Generalization of a Fixed Point Theorem of Goebel, Kirk and Shimi
cites work: Q4839470
cites work: Edelstein's method and fixed point theorems for some generalized nonexpansive mappings
cites work: Fixed point theory for multivalued generalized nonexpansive mappings
cites work: Fixed point theory for a class of generalized nonexpansive mappings
cites work: Q3998720
cites work: Q3322631
cites work: A Generalization of a Fixed Point Theorem of Reich
cites work: On Nonexpansive Mappings
cites work: A Fixed Point Theorem for Mappings which do not Increase Distances
cites work: Invariant means and fixed point properties of semigroup of nonexpansive mappings
cites work: Weak convergence and nonlinear ergodic theorems for reversible semigroup of nonexpansive mappings
cites work: Invariant means and semigroups of nonexpansive mappings on uniformly convex Banach spaces
cites work: Common Fixed Points for Semigroups of Mappings
cites work: The fixed point theory for some generalized nonexpansive mappings
cites work: Q5624389
cites work: Q5663096
cites work: Q3711205
cites work: The fixed point problem for generalised nonexpansive maps
cites work: Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
cites work: A Note on Asymptotic Normal Structure and Close-to-Normal Structure
cites work: Close-to-normal structure and its applications
cites work: On Kannan Maps
full work available at URL: tmna.2021.021
OpenAlex ID: W4200298123
description: scientific article; zbMATH DE number 7474130