A two-parameter control for contractive-like multivalued mappings

DOI10.1016/j.topol.2011.04.027zbMath1252.47058arXiv1203.1763OpenAlexW2035592189MaRDI QIDQ409705

Dušan D. Repovš

Publication date: 13 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1763

zbMATH Keywords

fixed pointcomplete metric spacelower semicontinuous functionPicard iterationHausdorff distancemultivalued contraction(\(\alpha\),\(\beta\))-contraction mappingclosed-valued contraction

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

On contraction-type assumptions avoiding the Hausdorff distance

Cites Work

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• Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
• Fixed point theorems for multi-valued contractions in complete metric spaces
• Around Browder's fixed point theorem for contractions
• Fixed point theorems for multivalued mappings on complete metric spaces
• Fixed points of multivalued contractions
• Fixed point theorems for set-valued contractions in complete metric spaces
• Equivalence of some contractivity properties over metrical structures
• On a conjecture of S. Reich

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