Global efficiency for multiobjective bilevel programming problems under generalized invexity

Bouibed, Karima; Slimani, Hachem; Radjef, Mohammed Saïd

doi:10.1007/s12190-015-0979-2

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2020

2024

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Cited by 3 publications

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“…Multiobjective bilevel programming problem, where one of the objective functions of the upper-level problem and/or the lower-level problem is a vector function, needs to be investigated intensively as it is demanded from the point-of-view of applications. They have been studied in the literature by authors such as Bouibed et al [8], Ye [36], Bonnel [5], Bonnel and Morgan [6,7], Tung [35], Luu and Mai [29] and others. Recently, Luu and Mai [29] developed necessary and sufficient efficiency conditions for multiobjective bilevel programming problem via convexifactors.…”

Section: Introductionmentioning

confidence: 99%

Optimality Conditions Using Convexifactors for a Multiobjective Fractional Bilevel Programming Problem

Kohli

2021

Tamkang J. Math.

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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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