Vector variational inequalities on Hadamard manifolds involving strongly geodesic convex functions

被引：9

作者：

Jayswal, Anurag ^{[1
]}

Ahmad, Izhar ^{[2
]}

Kumari, Babli ^{[1
]}

机构：

[1] Indian Sch Mines, Indian Inst Technol, Dept Appl Math, Dhanbad 826004, Jharkhand, India

[2] King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran 31261, Saudi Arabia

来源：

OPERATIONS RESEARCH LETTERS | 2019年 / 47卷 / 02期

关键词：

Vector optimization problem; Vector variational inequality; Strongly geodesic convexity; Generalized subdifferential; Hadamard manifold; GENERALIZED MONOTONICITY; OPTIMIZATION PROBLEMS; EXISTENCE;

D O I：

10.1016/j.orl.2019.01.004

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：

This paper is intended to study the vector variational inequalities on Hadamard manifolds. Generalized Minty and Stampacchia vector variational inequalities are introduced involving generalized subdifferential. Under strongly geodesic convexity, relations between solutions of these inequalities and a nonsmooth vector optimization problem are established. To illustrate the relationship between a solution of generalized weak Stampacchia vector variational inequality and weak efficiency of a nonsmooth vector optimization problem, a non-trivial example is presented. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：110 / 114

页数：5

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