A Set-Valued Generalization of Fan's Best Approximation Theorem

DOI10.4153/CJM-1992-046-9zbMath0761.47037MaRDI QIDQ4022892

Xie Ping Ding, Kok-Keong Tan

Publication date: 17 January 1993

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

fixed point theoremsapproximation theoremsHausdorff topological vector spacetopological dualcontinuous set-valued mapsupper semi- continuous set-valued maps

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (4)

Best approximation theorems for composites of upper semicontinuous maps ⋮ The best approximation and coincidence theorems for composites of acyclic mappings ⋮ Best approximation theorem for set-valued mappings without convex values and continuity ⋮ On a fixed point theorem of Ky Fan

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