Open AccessOptimality Conditions Using Convexifactors for a Multiobjective Fractional Bilevel Programming Problem
Author(s) -
Bhawna Kohli
Publication year - 2021
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.54.2023.3830
Subject(s) - bilevel optimization , mathematics , mathematical optimization , constraint (computer aided design) , fractional programming , multiobjective programming , multi objective optimization , optimization problem , nonlinear programming , physics , geometry , nonlinear system , quantum mechanics
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.