Best approximations and fixed points of nonexpansive maps in hilbert spaces sehie park

DOI10.1080/01630569708816783zbMath0911.47050OpenAlexW1986449843MaRDI QIDQ4385299

Sehie Park

Publication date: 4 May 1999

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

Full work available at URL: https://doi.org/10.1080/01630569708816783

zbMATH Keywords

fixed point theoremsbest approximationnonexpansive maps

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Asymptotically pseudocontractions, Banach operator pairs and best simultaneous approximations

Cites Work

• Applications of the proximity map to fixed point theorems in Hilbert space
• Approximate selections, best approximations, fixed points, and invariant sets
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• A fixed point theorem, and some applications
• Condensing mappings and the Leray-Schauder boundary condition
• Strong convergence theorems for nonexpansive nonself-mappings
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR EQUATIONS OF EVOLUTION

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