Open Access
2006 NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH GENERALIZED INVEXITY
Do Sang Kim
Taiwanese J. Math. 10(2): 467-478 (2006). DOI: 10.11650/twjm/1500403837

Abstract

In this paper, we consider nonsmooth multiobjective fractional programming problems involving locally Lipschitz functions. We introduce the property of generalized invexity for fractional function. We present necessary optimality conditions, sufficient optimality conditions and duality relations for nonsmooth multiobjective fractional programming problems, which is for a weakly efficient solution under suitable generalized invexity assumptions.

Citation

Download Citation

Do Sang Kim. "NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROGRAMMING WITH GENERALIZED INVEXITY." Taiwanese J. Math. 10 (2) 467 - 478, 2006. https://doi.org/10.11650/twjm/1500403837

Information

Published: 2006
First available in Project Euclid: 18 July 2017

zbMATH: 1105.90093
MathSciNet: MR2208279
Digital Object Identifier: 10.11650/twjm/1500403837

Subjects:
Primary: 90C32 , 90C46

Keywords: duality theorems , generalized invex functions , Multiobjective fractional programming , optimality conditions

Rights: Copyright © 2006 The Mathematical Society of the Republic of China

Vol.10 • No. 2 • 2006
Back to Top