Boundary conditions for 1-set contractions maps in Banach spaces
type: Item
instance of: scholarly article
title: Boundary conditions for 1-set contractions maps in Banach spaces
zbMATH Open document ID: 1351.47037
author: Smail Djebali
author: Karima Hammache
published in: Mediterranean Journal of Mathematics
publication date: 2016-08-31T00:00:00Z
Mathematics Subject Classification ID: 47H08
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6620738
zbMATH Keywords: nonexpansive mappings
zbMATH Keywords: 1-set contraction mappings
zbMATH Keywords: \(\psi\)-expansive mappings
zbMATH Keywords: \(\alpha\)-\(\psi\)-expansive mappings
zbMATH Keywords: Kuratowski measure of noncompactness
zbMATH Keywords: Leray-Schauder condition
zbMATH Keywords: interior condition
zbMATH Keywords: fixed point
MaRDI profile type: Publication
full work available at URL: s00009-015-0589-0
OpenAlex ID: W965908263
cites work: Fixed point theory and applications
cites work: Q3883053
cites work: Convexity and Optimization in Banach Spaces
cites work: Semicontractive and semiaccretive nonlinear mappings in Banach spaces
cites work: Punti uniti in trasformazioni a codominio non compatto
cites work: Q4141664
cites work: Q3622545
cites work: Fixed point theorems for nonexpansive maps in Banach spaces
cites work: Furi-Pera fixed point theorems for nonexpansive maps in Banach spaces
cites work: Q3452431
cites work: FIXED POINTS OF WEAKLY INWARD 1-SET-CONTRACTION MAPPINGS
cites work: A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals
cites work: Existence of fixed points for the sum of two operators
cites work: Krasnoselskii-type fixed-point theorems for weakly sequentially continuous mappings
cites work: Fixed point theory for 1-set contractive and pseudocontractive mappings
cites work: A Mönch type fixed point theorem under the interior condition
cites work: Fixed point theorems under the interior condition
cites work: Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations
cites work: The Fixed-Point Index and the Fixed-Point Theorems of 1-Set-Contraction Mappings
cites work: Fixed point theorems of 1-set-contractive operators in Banach spaces
cites work: Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces
cites work: Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
cites work: The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
cites work: Degree theory for local condensing maps
cites work: Fixed-point theory for the sum of two operators
cites work: Structure of the fixed points sets of k-set-contractions
cites work: Remarks on condensing and \(k\)-set-contractive mappings
cites work: Fixed Point Theorems for Various Classes of 1-Set-Contractive and 1-Ball- Contractive Mappings in Banach Space
cites work: Fixed points of condensing functions
cites work: Q5551837
cites work: Fixed point theorems for 1-set contractions
cites work: Q4051163
cites work: Q3706042
DOI: 10.1007/S00009-015-0589-0
description: scientific article; zbMATH DE number 6620738