Some fixed-point theorems and minimax inequalities in \(FC\)-space

DOI10.1016/j.jmaa.2006.06.027zbMath1111.54035OpenAlexW2059694556MaRDI QIDQ864650

Cao-Zong Cheng, Qing-Bang Zhang

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.027

zbMATH Keywords

fixed-pointset-valued map\(FC\)-spaceminimax inequality

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35)

Related Items

Generalized hierarchical minimax theorems for set-valued mappings ⋮ Collectively fixed point theorems in noncompact abstract convex spaces with applications ⋮ Remarks on weakly KKM maps in abstract convex spaces ⋮ A section theorem with applications to coincidence theorems and minimax inequalities in \(FWC\)-spaces ⋮ \(W\)-\(G\)-\(F\)-\(KKM\) mapping, intersection theorems and minimax inequalities in \(FC\)-space ⋮ Generalized convex spaces, \(L\)-spaces, and \(FC\)-spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Contractibility and generalized convexity
• New H-KKM theorems and their applications to geometric property, coincidence theorems, minimax inequality and maximal elements
• Foundations of the KKM theory on generalized convex spaces
• Fixed point and maximal element theorems with applications to abstract economies and minimax inequalities
• Fixed points and generalized vector equilibrium problems in generalized convex spaces.
• Collectively fixed-point theorems in noncompact \(G\)-convex spaces
• Existence of solutions for nonlinear inequalities in \(G\)-convex spaces
• Maximal element theorems in product \(FC\)-spaces and generalized games
• KKM property and fixed point theorems
• Coincidence theorems in topological spaces and their applications
• System of generalized vector quasi-equilibrium problems in locally FC-spaces
• A fixed point theorem and equilibrium point of an abstract economy
• Continuous Selection Theorems in Generalized Convex Spaces
• COLLECTIVELY FIXED POINT THEOREM AND ABSTRACT ECONOMY ING-CONVEX SPACES

This page was built for publication: Some fixed-point theorems and minimax inequalities in \(FC\)-space