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T. R. Gulati and D. Agarwal, “Sufficiency and Duality in Nonsmooth Multiobjective Optimization Involving Generalized -Type I Functions,” Computers and Mathematics with Applications, Vol. 52, No. 1-2, July 2006, pp. 81-94. doi:10.1016/j.camwa.2006.08.006

has been cited by the following article:

• TITLE: Efficiency and Duality in Nondifferentiable Multiobjective Programming Involving Directional Derivative

  AUTHORS: Izhar Ahmad

  KEYWORDS: Multiobjective Programming, Nondifferentiable Programming, Generalized dI-Univexity, Sufficiency, Duality

  JOURNAL NAME: Applied Mathematics, Vol.2 No.4, March 31, 2011

  ABSTRACT: In this paper, we introduce a new class of generalized dI-univexity in which each component of the objective and constraint functions is directionally differentiable in its own direction di for a nondifferentiable multiobjective programming problem. Based upon these generalized functions, sufficient optimality conditions are established for a feasible point to be efficient and properly efficient under the generalised dI-univexity requirements. Moreover, weak, strong and strict converse duality theorems are also derived for Mond-Weir type dual programs.