Sufficiency and duality in nonsmooth multiobjective optimization involving generalized (F, α, π, d)-Type I functions

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Abstract

In this paper, new classes of generalized (F, α, π, d)-Type I functions are introduced for a nonsmooth multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established. Weak, strong, and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs in order to relate the efficient and weak efficient solutions of primal and dual problems.

Keywords

Nonsmooth multiobjective programming
(F, α, π, d)-Type I function
Efficiency
Sufficiency
Duality

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The second author is thankful to MHRD, Government of India for providing financial support.