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Zhen, Y.C. and Gao, X.Y. (2016) Sufficiency and Duality for Multiobjective Programming under New Invexity. Mathematical Problems in Engineering, 2016, Article ID: 8462602.
https://doi.org/10.1155/2016/8462602

has been cited by the following article:

• TITLE: Sufficiency and Wolfe Type Duality for Nonsmooth Multiobjective Programming Problems

  AUTHORS: Gang An, Xiaoyan Gao

  KEYWORDS: Multiobjective Programming, Optimality Condition, Locally Lipschitz Function, Wolfe Type Dual Problem

  JOURNAL NAME: Advances in Pure Mathematics, Vol.8 No.8, August 20, 2018

  ABSTRACT: In this paper, a class of nonsmooth multiobjective programming problems is considered. We introduce the new concept of invex of ordertype II for nondifferentiable locally Lipschitz functions using the tools of Clarke subdifferential. The new functions are used to derive the sufficient optimality condition for a class of nonsmooth multiobjective programming problems. Utilizing the sufficient optimality conditions, weak and strong duality theorems are established for Wolfe type duality model.