학술논문
Existence Results for General Inclusions Using Generalized KKM Theorems with Applications to Minimax Problems
Document Type
redif-article
Author
Source
Springer, Journal of Optimization Theory and Applications. 146(3):640-653
Subject
Language
English
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.