Some properties of abstract convexity structures on topological spaces

DOI10.1016/j.na.2006.06.039zbMath1120.52001OpenAlexW2039245087MaRDI QIDQ881613

Hui Yang, Shu-wen Xiang

Publication date: 30 May 2007

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.2006.06.039

zbMATH Keywords

fixed point propertyabstract convexityselection property

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Axiomatic and generalized convexity (52A01)

Related Items (3)

SYMMETRY GEOMETRY BY PAIRINGS ⋮ Pairings and related symmetry notions ⋮ Comments on abstract convexity structures on topological spaces

Cites Work

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• Extension and selection theorems in topological spaces with a generalized convexity structure
• Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• Maximal elements and fixed points for binary relations on topological ordered spaces
• Convex Structures and Continuous Selections
• A new minimax inequality on H-spaces with applications
• A Selection Theorem for Topological Convex Structures
• -convexity
• Fixed points and selections of set-valued maps on spaces with convexity

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