Optimality and Duality for Multiple-Objective Optimization with Generalized α-Univex Functions

نویسندگان

  • S. K. Mishra
  • J. S. Rautela
  • R. P. Pant
چکیده

The aim of the present paper is to obtain a number of Kuhn-Tucker type sufficient optimality conditions for a feasible solution to be an efficient solution under the assumptions of the new notions of weak strictly pseudo quasi α-univex, strong pseudo quasi α-univex, and weak strictly pseudo α-univex vector valued functions. We also derive the duality theorems for Mond-Weir and general Mond-Weir type duality under the aforesaid assumptions. KeywordsMultiobjective programming, Duality, α-Univexity, Generalized convexity, Efficient solution. ∗ Corresponding author’s email: [email protected]

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تاریخ انتشار 2007