M. Hachimi and B. Aghezzaf, “Sufficiency and Duality in Differentiable Multiobjective Programming Involving Generalized Type I Functions,” Journal of Mathematical Analysis and Applications, Vol. 296, No. 2, 2004, pp. 382-392. doi:10.1016/j.jmaa.2003.12.042

has been cited by the following article:

• TITLE: Optimality for Multi-Objective Programming Involving Arcwise Connected d-Type-I Functions

  AUTHORS: Guolin Yu, Min Wang

  KEYWORDS: Multi-Objective Programming, Pareto Efficient Solution, Arcwise Connected d-Type-I Functions, Optimality Conditions, Duality

  JOURNAL NAME: American Journal of Operations Research, Vol.1 No.4, December 5, 2011

  ABSTRACT: This paper deals with the optimality conditions and dual theory of multi-objective programming problems involving generalized convexity. New classes of generalized type-I functions are introduced for arcwise connected functions, and examples are given to show the existence of these functions. By utilizing the new concepts, several sufficient optimality conditions and Mond-Weir type duality results are proposed for non-differentiable multi-objective programming problem.