Optimality Conditions Using Convexifactors for a Multiobjective Fractional Bilevel Programming Problem

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-11-20 DOI:10.5556/j.tkjm.54.2023.3830

Bhawna Kohli

引用次数: 0

Abstract

In this paper, a multiobjective fractional bilevel programming problem is considered and optimality conditions using the concept of convexifactors are established for it. For this purpose, a suitable constraint qualification in terms of convexifactors is introduced for the problem. Further in the paper, notions of asymptotic pseudoconvexity, asymptotic quasiconvexity in terms of convexifactors are given and using them sufficient optimality conditions are derived.

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多目标分式双层规划问题的凸因子最优性条件

本文研究了一类多目标分式双层规划问题，利用凸因子的概念建立了该问题的最优性条件。为此，对该问题引入了一个合适的凸因子约束条件。进一步给出了凸因子的渐近伪凸性、渐近拟凸性的概念，并利用它们导出了充分最优性条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.