Degree theory for a generalized set-valued variational inequality with an application in Banach spaces

Authors:
Zhong Bao Wang;Nan Jing Huang
Affiliations:
Department of Mathematics, Sichuan University, Chengdu, People's Republic of China 610064;Department of Mathematics, Sichuan University, Chengdu, People's Republic of China 610064
Venue:
Journal of Global Optimization
Year:
2011

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Abstract

In this paper, a degree theory for a generalized set-valued variational inequality is built in a Banach space. As an application, an existence result of solutions for the generalized set-valued variational inequality is given under some suitable conditions.