GENERALIZED REGULARIZED GAP FUNCTIONS AND ERROR BOUNDS FOR GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITIES

被引：0

作者：

Asif, Mohd ^{[1
]}

Khan, Zubair ^{[2
]}

Babu, Feeroz ^{[2
]}

Ansari, Abdul Faiz ^{[3
]}

机构：

[1] Department of Mathematics and Statistics, Integral University, Lucknow,226 026, India

[2] Department of Applied Mathematics, Aligarh Muslim University, Aligarh,202 002, India

[3] Department of Mathematics and Astronomy, University of Lucknow, Lucknow,226 007, India

来源：

Applied Set-Valued Analysis and Optimization | 2022年 / 4卷 / 01期

关键词：

Error analysis;

D O I：

10.23952/asvao.4.2022.1.06

中图分类号：

O172 [微积分];

学科分类号：

摘要：

This paper aims to study the generalized vector variational-like inequalities (in short, GVVLI). A gap function and a generalized regularized gap function which are independent of the scalarization parameter for the GVVLI. A result on error bounds for the GVVLI with generalized regularized gap functions without any Lipschitz continuity is presented. Finally, we give examples to illustrate our results. The results presented in the paper improve and generalize some known results in the literature. © 2022 Biemdas Academic Publishers. All Rights Reserved.

引用

页码：83 / 93

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