Minty Variational Principle for Nonsmooth Interval-Valued Vector Optimization Problems on Hadamard Manifolds

被引：23

作者：

Treanta, Savin ^{[1
]}

Mishra, Priyanka ^{[2
]}

Upadhyay, Balendu Bhooshan ^{[2
]}

机构：

[1] Univ Politehn Bucuresti, Dept Appl Math, Bucharest 060042, Romania

[2] Indian Inst Technol Patna, Dept Math, Patna 801103, Bihar, India

来源：

MATHEMATICS | 2022年 / 10卷 / 03期

关键词：

Clarke subdifferentials; geodesic LU-approximately convex functions; Hadamard manifolds; APPROXIMATE CONVEXITY; INEQUALITIES; OPTIMALITY;

D O I：

10.3390/math10030523

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article deals with the classes of approximate Minty- and Stampacchia-type vector variational inequalities on Hadamard manifolds and a class of nonsmooth interval-valued vector optimization problems. By using the Clarke subdifferentials, we define a new class of functions on Hadamard manifolds, namely, the geodesic LU-approximately convex functions. Under geodesic LU-approximate convexity hypothesis, we derive the relationship between the solutions of these approximate vector variational inequalities and nonsmooth interval-valued vector optimization problems. This paper extends and generalizes some existing results in the literature.

引用

页数：15