# Some further applications of KKM theorem in topological semilattices

Volume 5, Issue 3, pp 161--173
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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.

### Share and Cite

##### 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.

•  47H10
•  47H04

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