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Higher-order symmetric duality in multiobjective programming problems under higher-order invexity
Authors:S.K. Padhan  C. Nahak
Affiliation:Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India
Abstract:In this paper we present a pair of Wolfe and Mond-Weir type higher-order symmetric dual programs for multiobjective symmetric programming problems. Different types of higher-order duality results (weak, strong and converse duality) are established for the above higher-order symmetric dual programs under higher-order invexity and higher-order pseudo-invexity assumptions. Also we discuss many examples and counterexamples to justify our work.
Keywords:Wolfe and Mond-Weir type higher-order dual   Symmetric dual   Higher-order invexity   Weak, strong and converse duality theorems
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