On Minty variational principle for nonsmooth multiobjective optimization problems on Hadamard manifolds

被引：0

作者：

Bhooshan Upadhyay, Balendu ^{[1
]}

Treanta, Savin ^{[2
,3
]}

Mishra, Priyanka ^{[1
]}

机构：

[1] Indian Inst Technol Patna, Dept Math, Patna, Bihar, India

[2] Univ Politeh Bucharest, Dept Appl Math, Bucharest, Romania

[3] Acad Romanian Sci, Bucharest, Romania

来源：

OPTIMIZATION | 2023年 / 72卷 / 12期

关键词：

Approximate vector variational inequalities; Clarke subdifferential; Hadamard manifolds; APPROXIMATE CONVEXITY; VECTOR; INEQUALITIES;

D O I：

10.1080/02331934.2022.2088369

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we consider classes of approximate Minty and Stampacchia type vector variational inequalities using Clarke subdifferential on Hadamard manifolds and a class of nonsmooth multiobjective optimization problems. We investigate the relationship between the solution of these approximate vector variational inequalities and the solution of nonsmooth multiobjective optimization problems involving geodesic approximately convex functions. The results presented in this paper extend and generalize some existing results in the literature.

引用

页码：3081 / 3100

页数：20

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