Exponential type vector variational-like inequalities and nonsmooth vector optimization problems

被引：3
|
作者：
Jayswal A. [1 ]
Choudhury S. [1 ]
机构：
[1] Department of Applied Mathematics, Indian School of Mines, Dhanbad, 826 004, Jharkhand
来源：
J. Appl. Math. Comp. | / 1-2卷 / 127-143期
关键词：
(p; r)-invexity; Fan-KKM Theorem; Locally Lipschitz function; Nonsmooth exponential type vector variational-like inequalities; Nonsmooth vector optimization problems;
D O I：
10.1007/s12190-014-0828-8
中图分类号：
学科分类号：
摘要：
This paper is devoted to study a new class of exponential form of vector variational-like inequality problems comprised of locally Lipschitz functions having exponential type invexities. In the setting of Banach space, we investigate the relationship of nonsmooth exponential type vector variational-like inequality problems with vector optimization problems involving nonsmooth (p, r)-invex functions. Also, we explore the conditions for solvability of the aforesaid nonsmooth exponential type vector variational-like inequality problems using Fan-KKM Theorem. Moreover, we provide examples to elucidate our results. © 2014, Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：127 / 143
页数：16
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