Abstract convexity in KKM theorems via set-valued maps

DOI10.1007/S11590-020-01536-9zbMath1478.47041OpenAlexW3002548451WikidataQ126299772 ScholiaQ126299772MaRDI QIDQ828720

Jafar Zafarani, Majid Fakhar, Maryam Lotfipour

Publication date: 5 May 2021

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-020-01536-9

zbMATH Keywords

KKM lemma\(\Phi\)-KKM mapuniform map convex space

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Set-valued operators (47H04) Set-valued and function-space-valued mappings on manifolds (58C06)

Cites Work

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• Existence of solutions in variational relation problems without convexity
• Topological convexities, selections and fixed points
• KKM and Ky Fan theorems in hyperconvex metric spaces
• Generalized \(L\)-KKM type theorems in topological spaces with an application
• Applications of a theorem concerning sets with convex sections
• Apartness and Uniformity

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