On generalizations of ky fan's theorems on best approximations

DOI10.1080/01630568708816250zbMath0642.41017OpenAlexW2334815268MaRDI QIDQ3784573

Sehie Park

Publication date: 1987

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568708816250

zbMATH Keywords

coincidence pointSchauder fixed point theoremnormed vector space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (2)

Best and coupled best approximation theorems in abstract convex metric spaces ⋮ Some generalizations of Ky Fan’s best approximation theorem

Cites Work

• Some properties of convex sets related to fixed point theorems
• Approximate selections, best approximations, fixed points, and invariant sets
• Extensions of two fixed point theorems of F. E. Browder
• Fixed-point theorems for set-valued mappings and existence of best approximants
• On a sharpened form of the Schauder fixed-point theorem
• Unnamed Item
• Unnamed Item

This page was built for publication: On generalizations of ky fan's theorems on best approximations