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DOI: 10.23952/cot.2024.21
Received August 9, 2023; Accepted October 18, 2023; Published online March 24, 2024
Abstract. In this work, a class of nondifferentiable multiobjective fractional programming problems with locally Lipschitz functions is considered. Parametric Karush-Kuhn-Tucker necessary conditions are established for such nonsmooth extremum problems via Mordukhovich subdifferentials of the involved functions. Moreover, a new concept of generalized convexity, namely, L-univexity is introduced via the notion of Mordukhovich subdifferential, and by employing it sufficient optimality conditions for the considered problem are derived. Further, for the aforesaid nondifferentiable multiobjective fractional programming problem, its parametric vector dual problem is defined and several duality results are proved also under L-univexity assumptions. The parametric optimality and duality results established in the paper for such nondifferentiable multiobjective fractional programming problems generalize the similar results existing in the literature.
How to Cite this Article:
T. Antczak, Parametric optimality and duality results for nondifferentiable L-univex multiobjective fractional programming problems, Commun. Optim. Theory 2024 (2024) 21.