Volume 54, Number 4, July-August 2020
|Page(s)||1161 - 1188|
|Published online||12 June 2020|
The Karush–Kuhn–Tucker conditions for multiple objective fractional interval valued optimization problems
Institute of Fundamental and Frontier Sciences, The University of Electronic Science and Technology of China, Chengdu 610054, PR China
2 Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247 667, India
* Corresponding author: firstname.lastname@example.org
Accepted: 10 May 2019
In this article, we focus on a class of a fractional interval multivalued programming problem. For the solution concept, LU-Pareto optimality and LS-Pareto, optimality are discussed, and some nontrivial concepts are also illustrated with small examples. The ideas of LU-V-invex and LS-V-invex for a fractional interval problem are introduced. Using these invexity suppositions, we establish the Karush–Kuhn–Tucker optimality conditions for the problem assuming the functions involved to be gH-differentiable. Non-trivial examples are discussed throughout the manuscript to make a clear understanding of the results established. Results obtained in this paper unify and extend some previously known results appeared in the literature.
Mathematics Subject Classification: 90C29 / 90C30 / 90C32 / 90C46
Key words: Fractional programming / multiobjective programming / interval valued problem / LU-V/LS-V-invex / gH-differentiable
© EDP Sciences, ROADEF, SMAI 2020
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