Optimality Conditions and Duality for Multiobjective Programming Involving (C, α, ρ, d) type-I Functions

Dehui Yuan (lxlydh0125@sina.com.cn), Altannar Chinchuluun (altannar@ufl.edu), Xiaoling Liu (ydhlxl@sohu.com) and Panos M. Pardalos (pardalos@ufl.edu)
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Dehui Yuan: Hanshan Teachers’ College
Altannar Chinchuluun: University of Florida
Xiaoling Liu: Hanshan Teachers’ College
Panos M. Pardalos: University of Florida

A chapter in Generalized Convexity and Related Topics, 2007, pp 73-87 from Springer

Abstract: Summary In this chapter, we present a unified formulation of generalized convex functions. Based on these concepts, sufficient optimality conditions for a nondifferentiable multiobjective programming problem are presented. We also introduce a general Mond-Weir type dual problem of the problem and establish weak duality theorem under generalized convexity assumptions. Strong duality result is derived using a constraint qualification for nondifferentiable multiobjective programming problems.

Keywords: Multiobjective programming problem; (C; α; ρ; d)-type I function; Optimality conditions; Duality (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/978-3-540-37007-9_3

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