Abstract

In this article, we explore a class of nonsmooth multiobjective semi-infinite optimization problems with switching constraints (abbreviated as, (NMSIPSC)) in the framework of Euclidean space. Corresponding to the considered problem (NMSIPSC), the generalized Guignard constraint qualification (abbreviated as, (NMSIPSC-GGCQ)) is introduced in the Euclidean space setting. Karush-Kuhn-Tucker (abbreviated as, KKT) type necessary conditions of Pareto-efficiency are derived for (NMSIPSC). Subsequently, we introduce several other constraint qualifications, which turn out to be sufficient conditions for (NMSIPSC-GGCQ). We have furnished non-trivial illustrative examples to demonstrate the significance of our results. To the best of our knowledge, constraint qualifications for (NMSIPSC) have not yet been studied in the Euclidean space setting.

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