Existence Results for General Inclusions Using Generalized KKM Theorems with Applications to Minimax Problems

Applying generalized KKM-type theorems established in our previous paper (Khanh et al. in Nonlinear Anal. 71:1227–1234, 2009 ), we prove the existence of solutions to a general variational inclusion problem, which contains most of the existing results of this type. As applications, we obtain minimax...

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Bibliographic Details
Published in:Journal of optimization theory and applications 2010-09, Vol.146 (3), p.640-653
Main Authors: Khanh, P. Q., Quan, N. H.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Calculus of variations and optimal control
Calculus of Variations and Optimal Control
Optimization
Engineering
Exact sciences and technology
Mapping
Mathematical analysis
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Optimization
Sciences and techniques of general use
Studies
Theorems
Theory of Computation
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Summary:Applying generalized KKM-type theorems established in our previous paper (Khanh et al. in Nonlinear Anal. 71:1227–1234, 2009 ), we prove the existence of solutions to a general variational inclusion problem, which contains most of the existing results of this type. As applications, we obtain minimax theorems in various settings and saddle-point theorems in particular. Examples are given to explain advantages of our results.
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-010-9690-5