Degree Theory for Generalized Mixed Quasi-variational Inequalities and Its Applications

Zhong-bao Wang (), Yi-bin Xiao () and Zhang-you Chen ()
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Zhong-bao Wang: Southwest Jiaotong University
Yi-bin Xiao: University of Electronic Science and Technology of China
Zhang-you Chen: Southwest Jiaotong University

Journal of Optimization Theory and Applications, 2020, vol. 187, issue 1, No 3, 43-64

Abstract: Abstract The present paper is devoted to building degree theory for a generalized mixed quasi-variational inequality in finite dimensional spaces. Then, by employing the obtained results, we prove the existence and stability of solutions to the considered generalized mixed quasi-variational inequality.

Keywords: Degree theory; Generalized f-projection operator; Generalized mixed quasi-variational inequality; Existence; Stability; 49J40; 90C26; 49J45; 90C25 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10957-020-01748-0

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