Improving KKM theory on general metric type spaces

DOI10.1515/taa-2020-0101zbMath1473.52001OpenAlexW3177319889MaRDI QIDQ2231982

Sehie Park

Publication date: 1 October 2021

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

Full work available at URL: https://doi.org/10.1515/taa-2020-0101

zbMATH Keywords

KKM theoremabstract convex spaceKKM space\(\mathfrak{KO}\)map classes \(\mathfrak{KC}\)

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Set-valued maps in general topology (54C60) Fundamental topics (basic mathematics, methodology; applicable to economics in general) (91B02) Fixed-point theorems (47H10) Axiomatic and generalized convexity (52A01) Fixed-point and coincidence theorems (topological aspects) (54H25) Equilibrium refinements (91A11)

Cites Work

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• Existence results for -quasimonotone equilibrium problems in convex metric spaces
• Fixed point theorems in hyperconvex metric spaces

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