Diametrically contractive multivalued mappings

DOI10.1155/2007/19745zbMath1171.47044OpenAlexW2017271107WikidataQ59214161 ScholiaQ59214161MaRDI QIDQ2472289

H. Yingtaweesittikul, Sompong Dhompongsa

Publication date: 21 February 2008

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55931

zbMATH Keywords

multivalued mappingsfixed point theorem

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

Fixed point theorems for generalized set-contraction maps and their applications ⋮ A generalization of Nadler's fixed point theorem ⋮ Fixed-point theorems for Meir-Keeler multivalued maps and application ⋮ Fixed point theory for \(F\)-set-contraction multimaps and application to a system of integral inclusions ⋮ Fixed point theorems by ways of ultra-asymptotic centers ⋮ New fixed point theorems for asymptotically regular multi-valued maps ⋮ Two Extensions of Diametrically Contractive Mappings

Cites Work

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• KKM property and fixed point theorems in metric spaces
• Diametrically contractive maps and fixed points
• Fixed points for operators on metric spaces with conditional uniform equivalence of orbits
• KKM mappings in metric spaces
• Diametrically contractive mappings
• The solution by iteration of nonlinear functional equations in Banach spaces
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Fixed point theorems in metric spaces

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