The aim of this article is to study a nonsmooth multiobjective semi-infinite programming problem with vanishing constraints (MSIPVC). We introduce the stationary point concept in terms of tangential subdifferentials a...
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The aim of this article is to study a nonsmooth multiobjective semi-infinite programming problem with vanishing constraints (MSIPVC). We introduce the stationary point concept in terms of tangential subdifferentials and establish necessary and sufficient Karush-Kuhn-Tucker optimality conditions under suitable generalized constraint qualifications for efficient and other generalized efficient solutions for the MSIPVC in the sense of tangential subdifferentials. Further, we formulate Wolfe and Mond-Weir type dual problems and establish duality relations under convexity and generalized convexity assumptions in presence of tangentially convex functions. We also provide some examples that illustrate our results.
The definition of generalized unified (C, α, ρ, d)-convex function is given. The concepts of generalized unified (C, α, ρ, d)-quasiconvexity, generalized unified (C, α, ρ, d)-pseudoconvexity and generalized unif...
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The definition of generalized unified (C, α, ρ, d)-convex function is given. The concepts of generalized unified (C, α, ρ, d)-quasiconvexity, generalized unified (C, α, ρ, d)-pseudoconvexity and generalized unified (C, α, ρ, d)-strictly pseudoconvex functions are presented. The sufficient optimality conditions for multiobjective nonsmooth semi-infiniteprogramming are obtained involving these generalized convexity lastly.
This paper deals with a semi-infiniteprogramming with multiple interval-valued objective functions. We first investigate necessary and sufficient Karush-Kuhn-Tucker optimality conditions for some types of optimal sol...
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This paper deals with a semi-infiniteprogramming with multiple interval-valued objective functions. We first investigate necessary and sufficient Karush-Kuhn-Tucker optimality conditions for some types of optimal solutions. Then, we formulate types of Mond-Weir and Wolfe dual problems and explore duality relations under convexity assumptions. Some examples are provided to illustrate our results.
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