Fixed point theorems for the \(\varPsi\)-set contraction mapping on almost convex sets

DOI10.1016/J.NA.2009.01.108zbMath1221.54052OpenAlexW1982636261MaRDI QIDQ923914

Elsie Sterbin Gottlieb

Publication date: 24 July 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.2009.01.108

zbMATH Keywords

fixed point theorem\(\varPsi\)-set contraction mappingcycle point theoremset measure

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (2)

Unnamed Item ⋮ Approximate fixed point theorems for the generalized \(\varPsi \)-set contraction mappings on an almost \(\varPhi \)-space

Cites Work

• A generalization of Tychonoff's fixed point theorem
• Some results for the family KKM\((X,Y)\) and the \(\Phi\)-mapping
• Fixed point theorems for better admissible multimaps on almost convex sets
• Approachability and fixed points for non-convex set-valued maps
• KKM property and fixed point theorems
• Fixed-point theorems for multivalued noncompact inward maps
• Fixed point theorems for multifunctions having KKM property on almost convex sets

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