Almost fixed point and best approximations theorems in H-spaces

DOI10.1017/S0004972700017202zbMath0884.47035MaRDI QIDQ4350825

Olga Hadžić

Publication date: 4 September 1997

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(H\)-spacesKKM theoryalmost fixed pointbest approximations theorems

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Best approximation, Chebyshev systems (41A50)

Related Items

Approximate selection theorems with \(n\)-connectedness ⋮ A unified fixed point theory in generalized convex spaces ⋮ Fixed point theory of multimaps in abstract convex uniform spaces ⋮ Approximate selections of almost lower semicontinuous multimaps in \(C\)-spaces ⋮ On fixed point and almost fixed point problems of lower semicontinuous type multivalued mappings ⋮ On fixed point and almost fixed point problems of lower semicontinuous type multivalued mappings ⋮ Approximate selection theorems in \(H\)-spaces with applications ⋮ An existence theorem of equilibrium for generalized games in \(H\)-spaces ⋮ On topological groups with an approximate fixed point property

Cites Work

• Measure of non-compactness and multivalued mappings in complete metric topological vector spaces
• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• Section theorems on \(H\)-spaces with applications
• Some Properties of Measures of Noncompactness in Paranormed Spaces
• Fixed points for condensing multifunctions in metric spaces with convex structure
• Some fixed point and almost fixed point theorems for multivalued mappings in topological vector spaces