Multivalued maps and the existence of best approximants

DOI10.1016/0021-9045(91)90074-KzbMath0729.41027MaRDI QIDQ805958

N. E. Zubov

Publication date: 1991

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

multivalued mapsKy Fan's theorem

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (8)

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ Fixed point and approximation results for multimaps in S-KKM class. ⋮ Random fixed point theorems for composites of acyclic multifunctions ⋮ Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces ⋮ Approximation and fixed point theorems for countable condensing composite maps ⋮ Generalizations of Ky Fan’s theorem on best approximations ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Approximate selections, best approximations, fixed points, and invariant sets
• Topological degree and nonlinear mappings of analytic type in Banach spaces
• Extensions of two fixed point theorems of F. E. Browder
• Lefschetz fixed point theorems for a new class of multi-valued maps
• Fixed-point theorems for set-valued mappings and existence of best approximants
• A theorem on best approximations

This page was built for publication: Multivalued maps and the existence of best approximants