Set-valued fractional programming problems with $ \sigma $-arcwisely connectivity-Reference-Cited by-同舟云学术

Set-valued fractional programming problems with $ \sigma $-arcwisely connectivity

Published:2023 Issue:6 Volume:8 Page:13181-13204
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Das Koushik¹,Treanţă Savin²³⁴,Khan Muhammad Bilal⁵

Affiliation:

1. Department of Mathematics, Taki Government College, Taki 743429, West Bengal, India

2. Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania

3. Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania

4. Fundamental Sciences Applied in Engineering-Research Center (SFAI), University Politehnica of Bucharest, 060042 Bucharest, Romania

5. Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan

Abstract

<abstract><p>In this paper, we determine the sufficient Karush-Kuhn-Tucker (KKT) conditions of optimality of a set-valued fractional programming problem (in short, SVFP) $\rm (FP)$ under the suppositions of contingent epidifferentiation and $ \sigma $-arcwisely connectivity. We additionally explore the results of duality of parametric $\rm (PD)$, Mond-Weir $\rm (MWD)$, Wolfe $\rm (WD)$, and mixed $\rm (MD)$ kinds for the problem $\rm (FP)$.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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