Best approximation theorem for set-valued mappings without convex values and continuity

DOI10.1007/BF02458237zbMath0921.47046OpenAlexW2051736158MaRDI QIDQ1288772

Xie Ping Ding, Yi Ran He

Publication date: 17 May 1999

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458237

zbMATH Keywords

set-valued mappingsfixed point theoremsbest approximationcoincidenceweakly convex graph

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Best approximation, Chebyshev systems (41A50)

Related Items (2)

Existence of the equilibrium in choice ⋮ Fixed point and equilibrium theorems in a generalized convexity framework

Cites Work

• Approximate selections, best approximations, fixed points, and invariant sets
• Some further generalizations of Ky Fan's best approximation theorem
• Extensions of two fixed point theorems of F. E. Browder
• On a Minimax Inequality of KY Fan
• A Set-Valued Generalization of Fan's Best Approximation Theorem
• On a sharpened form of the Schauder fixed-point theorem

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