Some Fixed Point Theorems for Composites of Acyclic Maps

DOI10.2307/2161225zbMath0806.47053OpenAlexW4240883042MaRDI QIDQ4303819

Sehie Park, S. P. Singh, Bruce Watson

Publication date: 29 August 1994

Full work available at URL: https://doi.org/10.2307/2161225

zbMATH Keywords

fixed point theoremsconvex subset of a locally convex Hausdorff topological vector spacemultifunctions containing compact composites of acyclic maps

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (28)

Coincidence theorems involving composites of acyclic mappings in contractible spaces ⋮ Further generalizations of the Gale-Nikaido-Debreu theorem ⋮ On D-KKM theorem and its applications ⋮ Foundations of the KKM theory on generalized convex spaces ⋮ Generalized KKM type theorems in FC-spaces with applications. I ⋮ On vector quasi-equilibrium problems with set-valued maps ⋮ Best approximation theorems for composites of upper semicontinuous maps ⋮ Coincidence theorems with applications to minimax inequalities, section theorem, best approximation and multiobjective games in topological spaces ⋮ A unifying approach to variational relation problems ⋮ Existence criteria for the solutions of two types of variational relation problems ⋮ Coincidence theorems in topological spaces and their applications ⋮ Acyclic versions of the von Neumann and Nash equilibrium theorems ⋮ Fixed points and quasi-equilibrium problems ⋮ Coincidence and maximal element theorems and their applications to generalized equilibrium problems and minimax inequalities ⋮ Coincidence theorems for the better admissible multimaps and their applications ⋮ On general best proximity pairs and equilibrium pairs in free abstract economies ⋮ Fixed points and quasi-equilibrium problems ⋮ Almost fixed points of multimaps having totally bounded ranges ⋮ Fixed points of compact approachable multimaps in topological vector spaces ⋮ Fixed-point theorems for multifunctions in S-KKM class ⋮ Coincidence theorem for admissible set-valued mappings and its applications in \(FC\)-spaces ⋮ Approximation and fixed-point theorems for condensing composites of multifunctions ⋮ Fixed points of approximable maps ⋮ A general coincidence theorem on contractible spaces ⋮ Generalized Leray-Schauder principles for condensing admissible multifunctions ⋮ The best approximation and coincidence theorems for composites of acyclic mappings ⋮ Approximation and fixed point theorems for countable condensing composite maps ⋮ Set-valued homology

Cites Work

• On the use of KKM multifunctions in fixed point theory and related topics
• Coincidences for set-valued maps and minimax inequalities
• Fixed point theorems for set-valued mappings
• Some general theorems in coincidence theory. I
• Approximate selections, best approximations, fixed points, and invariant sets
• The fixed point theory of multi-valued mappings in topological vector spaces
• Extensions of two fixed point theorems of F. E. Browder
• Lefschetz fixed point theorems for a new class of multi-valued maps
• Fixed points for Kakutani factorizable multifunctions
• Coincidence theorems, minimax theorems, and variational inequalities
• On a sharpened form of the Schauder fixed-point theorem
• The coincidence problem for compositions of set-valued maps
• Fixed points of compact multifunctions
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