Higher-order symmetric duality in multiobjective programming problems under higher-order invexity

摘要

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.