On the existence of solutions to quasivariational inclusion problems

Authors:
Nguyen Xuan Hai;Phan Quoc Khanh;Nguyen Hong Quan
Affiliations:
Department of Scientific Fundamentals, Posts and Telecommunications Institute of Technology, Hochiminh City, Vietnam;Department of Mathematics, International University of Hochiminh City, Linh Trung, Thu Duc, Hochiminh City, Vietnam;Department of Mathematics, Information Technology College of Hochiminh City, Hoa Thanh, Tan Phu, Hochiminh City, Vietnam
Venue:
Journal of Global Optimization
Year:
2009

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Abstract

We establish sufficient existence conditions for general quasivariational inclusion problems, which contain most of variational inclusion problems and quasiequilibrium problems considered in the literature. These conditions are shown to extend recent existing results and sharpen some of them even for particular cases.