Weak KKM set-valued mappings in hyperconvex metric spaces

DOI10.2298/FIL2101157AzbMath1499.54147OpenAlexW3205679573MaRDI QIDQ5085003

Mircea Balaj, Ravi P. Agarwal, Donal O'Regan

Publication date: 29 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2101157a

zbMATH Keywords

variational inequalityintersection theoremminimax inequalityhyperconvex metric spaceweak KKM set-valued mapping

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Axiomatic and generalized convexity (52A01) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• Weakly \(G\)-KKM mappings, \(G\)-KKM property, and minimax inequalities
• Extension of uniformly continuous transformations and hyperconvex metric spaces
• A generalization of Tychonoff's fixed point theorem
• Contractibility and generalized convexity
• Further applications of the KKM-Maps principle in hyperconvex metric spaces
• Generalized KKM theorems on hyperconvex metric spaces and some applications
• Generalized KKM theorems on hyperconvex metric spaces with applications
• The characterization of generalized metric KKM mappings with open values in hyperconvex metric spaces and some applications
• KKM and Ky Fan theorems in hyperconvex metric spaces
• Intersection theorems with applications in optimization
• Common fixed points of set-valued mappings in hyperconvex metric spaces
• Maximal element theorems in product \(FC\)-spaces and generalized games
• KKM property and fixed point theorems
• Fixed point theorems of upper semicontinuous multivalued mappings with applications in hyperconvex metric spaces
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• The Knaster--Kuratowski and Mazurkiewicz theory in hyperconvex metric spaces and some of its applications
• Hyperconvexity and approximate fixed points
• Fixed point theorems in hyperconvex metric spaces
• Some Nonlinear Problems in Hyperconvex Metric Spaces
• On Continuous Selection Problems for Multivalued Mappings with the Local Intersection Property in Hyperconvex Metric Spaces
• Set-valued analysis
• Some applications of the Knaster-Kuratowski and Mazurkiewicz principle in hyperconvex metric spaces
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