Efficiency and duality for E — [0, 1] convex multi-objective fractional programming

Tarek Emam

doi:10.2478/candc-2026-0003

$Efficiency and duality for E — [0, 1] convex multi-objective fractional programming Cover$

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Efficiency and duality for E — [0, 1] convex multi-objective fractional programming

Control and Cybernetics

Volume 55 (2026): Issue 1 (March 2026)

By: Tarek Emam

Open Access

|Jun 2026

Abstract

Abstract:

In this paper, we are interested in the efficiency and duality criteria for multi-objective fractional programming, in which the involved functions are locally Lipschitz. We shall establish the necessary and sufficient conditions for the considered problem un-der the concept of locally Lipschitz E-[0,1] convexity assumptions. Moreover, the dual problem in the sense of Schaible is defined for locally Lipschitz E-[0,1] convex multi-objective fractional programming and several duality theorems are established.

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Articles in this issue

DOI: https://doi.org/10.2478/candc-2026-0003 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569

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Language: English

Page range: 43 - 63

Submitted on: Jul 1, 2025

Accepted on: Mar 1, 2026

Published on: Jun 30, 2026

Published by: Systems Research Institute Polish Academy of Sciences

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

fractional programming,

nondifferentiability,

Related subjects:

Computer sciences, other,

Engineering,

Electrical engineering,

Fundamentals of electrical engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mathematics,

General mathematics

© 2026 Tarek Emam, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 55 (2026): Issue 1 (March 2026)