The Stability of Solution Set to η-Set-Valued Weak Vector Variational Inequality Problem

Abstract:

In this paper, we discuss the upper semi-continuity of the solution to parameter η-Set-valued weak vector variational inequality problem. We show that the operator of parameter η-Set-valued weak vector variational inequality is not continuous, but it satisfies ν-semicontinuous and η-weak C pseudo-monotone. Our results generalize the previous results in the literature.

• Periodical: Applied Mechanics and Materials (Volumes 668-669)
• Pages: 1134-1137
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.668-669.1134
• Online since: October 2014
• Authors: Jing Jia, Shui Fang Yin, Chang Chang Bu
• Keywords: Set-Valued Weak Vector Variational Inequality, Upper Semi-Continuity, η-Weak C Pseudo-Monotone, ν-Semicontinuous

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