Continuous selection, collectively fixed points and system of coincidence theorems in product topological spaces

DOI10.1007/s10114-005-0831-yzbMath1117.54032OpenAlexW2154163046MaRDI QIDQ882718

Xie Ping Ding

Publication date: 24 May 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0831-y

zbMATH Keywords

continuous selection\(FC\)-spacecoincidence theorem for two families of set-valued mappingscollectively fixed point

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Selections in general topology (54C65) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (7)

A unified fixed point theory in generalized convex spaces ⋮ A new fixed point theorem and applications ⋮ A fixed-component point theorem and applications ⋮ Continuous selections, collectively fixed points and weak Knaster-Kuratowski-Mazurkiewicz mappings in optimization ⋮ Generalized constrained multiobjective games in locally \(FC\)-uniform spaces ⋮ Collective fixed points, generalized games and systems of generalized quasi-variational inclusion problems in topological spaces ⋮ Generalized convex spaces, \(L\)-spaces, and \(FC\)-spaces

Cites Work

• Coincidence theorems involving composites of acyclic mappings in contractible spaces
• Continuous selections. I
• Contractibility and generalized convexity
• Coincidence theorems and generalized equilibrium in topological spaces
• On some generalized quasi-equilibrium problems
• Foundations of the KKM theory on generalized convex spaces
• New collectively fixed point theorems and applications in \(G\)-convex spaces
• System of coincidence theorems with applications.
• Collectively fixed-point theorems in noncompact \(G\)-convex spaces
• Coincidence and fixed point theorems with applications
• Continuous selection theorem, coincidence theorem, and generalized equilibrium in \(L\)-convex spaces
• Continuous selection and fixed point theorems
• Collective fixed points and maximal elements with applications to abstract economies
• Selecting families
• Coincidence theorems for admissible multifunctions on generalized convex spaces
• Coincidence theorems in topological spaces and their applications
• The fixed point theory of multi-valued mappings in topological vector spaces
• A fixed point theorem and equilibrium point of an abstract economy
• Coincidence theorems, minimax theorems, and variational inequalities
• A selection theorem and its applications
• The study of maximal elements, fixed points for -majorized mappings and their applications to minimax and variational inequalities in product topological spaces
• A fixed point theorem and its applications to a system of variational inequalities
• Continuous Selection Theorems in Generalized Convex Spaces
• New fixed point theorems for a family of mappings and applications to problems on sets with convex sections
• COLLECTIVELY FIXED POINT THEOREM AND ABSTRACT ECONOMY ING-CONVEX SPACES
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