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<p>In this paper, we consider a nonsmooth semi-infinite programming problem and prove Karush-Kuhn-Tucker-type necessary and sufficient optimality conditions in terms of GP-subdifferential under quasiconvex Slater constraint qualification. Moreover, Wolfe-type and Mond-Weir-type dual models are formulated corresponding to the primal semi-infinite programming problem, and weak, strong, and strict converse duality results are established for the corresponding dual model under suitable assumptions.</p>

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Optimality and duality for quasiconvex semi-infinite programming problems in terms of GP-subdifferential

  • 期刊论文

  • 发表日期：

    2026年7月13日

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  • Shashi Kant Mishra,
  • Soumya Rath,
  • Umashankar Bajpei

摘要

In this paper, we consider a nonsmooth semi-infinite programming problem and prove Karush-Kuhn-Tucker-type necessary and sufficient optimality conditions in terms of GP-subdifferential under quasiconvex Slater constraint qualification. Moreover, Wolfe-type and Mond-Weir-type dual models are formulated corresponding to the primal semi-infinite programming problem, and weak, strong, and strict converse duality results are established for the corresponding dual model under suitable assumptions.