Applying Convexificators in Nonsmooth Multiobjective Semi-infinite Fractional Interval-Valued Optimization

Nazih Abderrazzak Gadhi1, Aissam Ichatouhane1
1LAMA, Department of Mathematics, FSDM, Sidi Mohamed Ben Abdellah University, Fez, Morocco

Tóm tắt

In this work, we explore a nonsmooth semi-infinite multiobjective fractional interval-valued optimization problem. Using an adequate constraint qualification, we establish necessary optimality conditions in terms of Karush–Kuhn–Tucker multipliers and upper semiregular convexificators. We do not assume that the interval-valued objective function is smooth or that it is convex. There are examples highlighting both our results and the limits of certain past studies.

Tài liệu tham khảo

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