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Abstract
The purpose of this paper is to focus on the well-posedness for a generalized \((\eta ,g,\varphi )\)-mixed vector variational-type inequality and optimization problems with a constraint. We establish a metric characterization of well-posedness in terms of an approximate solution set. Also we prove that well-posedness of optimization problem is closely related to that of generalized \((\eta ,g,\varphi )\)-mixed vector variational-type inequality problems.
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Details
1 Center for General Education, China Medical University, Taichung, Taiwan
2 Department of Mathematics, Jazan University, Jazan, Kingdom of Saudi Arabia
3 Yunnan University of Finance and Economics, Kunming, China
4 Department of Mathematics, Yibin University, Yibin, China