Well-posedness for generalized (η, g, φ)-mixed vector variational-type inequality and optimization problems

被引:0
作者
Chang, Shih-sen [1 ]
Salahuddin [2 ]
Wang, L. [3 ]
Wang, X. R. [4 ]
Zhao, L. C. [4 ]
机构
[1] China Med Univ, Ctr Gen Educ, Taichung, Taiwan
[2] Jazan Univ, Dept Math, Jazan, Saudi Arabia
[3] Yunnan Univ Finance & Econ, Kunming, Yunnan, Peoples R China
[4] Yibin Univ, Dept Math, Yibin, Peoples R China
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期
关键词
Generalized; (eta; g; phi)-mixed vector variational-type inequality problems; Optimization problems; Well-posedness; Relaxed eta-alpha(g)-P-monotonicity; EQUILIBRIUM PROBLEMS; INCLUSION PROBLEMS;
D O I
10.1186/s13660-019-2194-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this paper is to focus on the well-posedness for a generalized (eta,g,phi)-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,phi)-mixed vector variational-type inequality problems.
引用
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页数:16
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