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R. N. Mukherjee and S. R. Yadav, “A Note on Arcwise Connected Sets and Functions,” Bulletin of the Australian Mathematical Society, Vol. 31, No. 3, 1985, pp. 369-375. doi:10.1017/S0004972700009333

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.