Complex Analysis Methods Related an Optimization Problem with Complex Variables

Authors

  • Hang-Chin Lai Chair Professor Department of Applied Mathematics, Chung Yuan Christian University and National Tsing Hua University
  • Tone-Yau Huang

Keywords:

complex minimax fractional programming, generalized

Abstract

In this paper, we consider a  nondifferentiable minimax fractional programming problem treated with complex variables. Duality problem in optimization theory plays an important role. The goal of this paper is to formulate the Wolfe type dual and Mond-Weir type dual problems. We aim to establish the duality problems, and prove that the duality theorems have no duality gap to the primal problem under some assumptions. The processes involves to show three theorems: the weak, strong and strictly converse duality theorem.

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Published

2010-12-31

Issue

Vol. 3 No. 6 (2010): Special Issue on Complex Analysis:Theory and Applications

Section

Special Issue on Complex Analysis: Theory and Applications

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How to Cite

Complex Analysis Methods Related an Optimization Problem with Complex Variables. (2010). European Journal of Pure and Applied Mathematics, 3(6), 989-1005. https://www.ejpam.com/index.php/ejpam/article/view/811