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Lahoussine L. First and Second Order Optimality Conditions using Approximations for Fractional Multiobjective Bilevel Problems under Fractional Constraints. IJMSI 2024; 19 (1) :211-232
URL: http://ijmsi.ir/article-1-1758-en.html
URL: http://ijmsi.ir/article-1-1758-en.html
Abstract:
In this paper, first and second order optimality conditions using the concept of approximations are developed for an optimistic fractional multiobjective bilevel problem with non-convex lower level problem. Our idea is based on using the properties of approximations in nonsmooth analysis and a separation theorem in convex analysis. All over the article, the data is assumed to be continuous but not necessarily Lipschitz.
Keywords: Fractional Bilevel programming, Optimal value function, Second order approximation, Optimality conditions, Multiobjective optimization.
Type of Study: Research paper |
Subject:
General
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