Continuous selections and fixed points of multi-valued mappings on noncompact or nonmetrizable spaces

DOI10.1090/S0002-9939-05-08264-XzbMath1078.54017MaRDI QIDQ5461362

No author found.

Publication date: 26 July 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

fixed pointmultifunctionselectoralmost fixed pointsub-lower semicontinuous multifunction

Mathematics Subject Classification ID

Set-valued functions (26E25) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of maximal elements and equilibria in linear topological spaces
• Fixed points theorems for mappings with non-compact and non-convex domains
• The study of minimax inequalities, abstract economics and applications to variational inequalities and Nash equilibria
• Extension and selection theorems in topological spaces with a generalized convexity structure
• Approximate selection theorems and their applications
• Continuous selection and fixed point theorems
• A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications
• Some remarks on fixed points of lower semicontinuous multifunctions
• A new generalization of the Schauder fixed point theorem
• The fixed point theory of multi-valued mappings in topological vector spaces
• Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
• A selection theorem and its applications
• The coincidence problem for compositions of set-valued maps
• Continuous Selection Theorems in Generalized Convex Spaces
• A new fixed point theorem and its applications
• Fixed points of compact multifunctions
• The Knaster-Kuratowski-Mazurkiewicz theorem and almost fixed points