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Necessary Optimality Conditions for Robust Nonsmooth Multiobjective Optimization Problems
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Abstract
This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions. Under an appropriate constraint qualification, we establish necessary optimality conditions for weakly robust efficient solutions of the considered problem. These optimality conditions are presented in terms of Karush-Kuhn-Tucker multipliers and convexificators of the related functions. Examples illustrating our findings are also given.
Title: Necessary Optimality Conditions for Robust Nonsmooth Multiobjective Optimization Problems
Description:
Abstract
This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions.
Under an appropriate constraint qualification, we establish necessary optimality conditions for weakly robust efficient solutions of the considered problem.
These optimality conditions are presented in terms of Karush-Kuhn-Tucker multipliers and convexificators of the related functions.
Examples illustrating our findings are also given.
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