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N. G. Rueda, M. A. Hanson and C. Singh, “Optimality and Duality with Generalized Convexity,” Journal of Optimization Theory and Applications, Vol. 86, No. 2, 1995, pp. 491-500. doi:10.1007/BF02192091

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.