Nonsmooth Continuous-Time Multiobjective Optimization Problems with Invexity
نویسندگان
چکیده
A few Karush-Kuhn-Tucker type of sufficient optimality conditions are given in this paper for nonsmooth continuous-time nonlinear multi-objective optimization problems in the Banach space L∞ [0, T ] of all n-dimensional vector-valued Lebesgue measurable functions which are essentially bounded, using Clarke regularity and generalized convexity. Further, we establish duality theorems for Wolfe and Mond-Weir types of dual problems under the assumptions of invexity, pseudo-invexity and quasi-invexity on the functions involved. Key–Words: Multiobjective optimization; Nonsmooth Optimization; Generalized convexity; Continuous-time nonlinear optimization; Optimality; Duality
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