Some further applications of KKM theorem in topological semilattices
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Authors
Nguyen The Vinh
- Department of Mathematical Analysis, University of Transport and Communications, Hanoi, Vietnam.
Abstract
In this paper, we obtain some further applications of KKM theorem in setting of topological semilattices such
as Ky Fan-Kakutani type fixed point theorem, Sion-Neumann type set-valued minimax theorem, set-valued
vector optimization problems.
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ISRP Style
Nguyen The Vinh, Some further applications of KKM theorem in topological semilattices, Journal of Nonlinear Sciences and Applications, 5 (2012), no. 3, 161--173
AMA Style
Vinh Nguyen The, Some further applications of KKM theorem in topological semilattices. J. Nonlinear Sci. Appl. (2012); 5(3):161--173
Chicago/Turabian Style
Vinh, Nguyen The. "Some further applications of KKM theorem in topological semilattices." Journal of Nonlinear Sciences and Applications, 5, no. 3 (2012): 161--173
Keywords
- generalized Ky Fan minimax inequality
- set-valued mapping
- topological semilattices
- \(C_\Delta\)-quasiconvex
- upper (lower) \(C\)-continuous
- fixed point
- Nash equilibrium.
MSC
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