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

P. Q. Khanh () and N. H. Quan ()
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P. Q. Khanh: International University of Hochiminh City
N. H. Quan: Information Technology College of Hochiminh City

Journal of Optimization Theory and Applications, 2010, vol. 146, issue 3, No 6, 640-653

Abstract: Abstract 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.

Keywords: Generalized KKM mappings; The solution existence; Inclusion problems; Generalized convexity; Transfer compact semicontinuity; Minimax theorems; Saddle-points (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-010-9690-5

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