Quasi-asymptotic contractions, set-valued dynamical systems, uniqueness of endpoints and generalized pseudodistances in uniform spaces

DOI10.1016/j.na.2008.01.032zbMath1160.54011OpenAlexW2038838003MaRDI QIDQ2518139

Kazimierz Włodarczyk, Raobert Plebaniak

Publication date: 13 January 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.01.032

zbMATH Keywords

convergenceset-valued dynamical systemendpointHausdorff uniform space\(({\mathcal V}\({\mathcal V}\)-family\({\mathcal V}\)-quasi-asymptotic contraction\Omega)\)-asymptotic contraction

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point theorems (47H10) Uniform structures and generalizations (54E15) General theory of locally convex spaces (46A03)

Related Items (4)

A stationary point theorem characterizing metric completeness ⋮ Corrigendum to: ``Quasi-asymptotic contractions, set-valued dynamic systems, uniqueness of endpoints and generalized pseudodistances in uniform spaces [Nonlinear Anal. 70 (2009) 1059-1068, doi:10.1016/j.na.2008.01.032] ⋮ Convergence theorems for a finite family of multi-valued strictly pseudo-hybrid mappings in Hilbert spaces ⋮ Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a fixed point theorem of Kirk
• A quantitative version of Kirk's fixed point theorem for asymptotic contractions
• Existence and uniqueness of endpoints of closed set-valued asymptotic contractions in metric spaces
• A rate of convergence for asymptotic contractions
• Iterative processes with nucleolar restrictions
• Fixed points of asymptotic contractions
• Set-valued topological contractions
• Endpoints of set-valued dynamical systems of asymptotic contractions of Meir-Keeler type and strict contractions in uniform spaces
• The uniqueness of endpoints for set-valued dynamical systems of contractions of Meir-Keeler type in uniform spaces
• Endpoint theory for set-valued nonlinear asymptotic contractions with respect to generalized pseudodistances in uniform spaces
• Set-valued dynamic systems and random iterations of set-valued weaker contractions in uniform spaces
• Fixed-point theorem for asymptotic contractions of Meir--Keeler type in complete metric spaces
• Asymptotic fixed points for nonlinear contractions
• A theorem on contraction mappings
• A definitive result on asymptotic contractions
• Fixed point theory for generalized contractive maps of Meir-Keeler type
• Fixed Points and Stationary Points of Dissipative Multivalued Maps
• Stable Sets and Stable Points of Set-Valued Dynamic Systems with Applications to Game Theory
• Some Asymptotic Fixed Point Theorems
• Set-valued analysis

This page was built for publication: Quasi-asymptotic contractions, set-valued dynamical systems, uniqueness of endpoints and generalized pseudodistances in uniform spaces