Open Access
Translator Disclaimer
2013 Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B - p , r -Invexity
Shun-Chin Ho
J. Appl. Math. 2013(SI21): 1-7 (2013). DOI: 10.1155/2013/237428

Abstract

We study nonsmooth multiobjective fractional programming problem containing local Lipschitz exponential B - p , r -invex functions with respect to η and b . We introduce a new concept of nonconvex functions, called exponential B - p , r -invex functions. Base on the generalized invex functions, we establish sufficient optimality conditions for a feasible point to be an efficient solution. Furthermore, employing optimality conditions to perform Mond-Weir type duality model and prove the duality theorems including weak duality, strong duality, and strict converse duality theorem under exponential B - p , r -invexity assumptions. Consequently, the optimal values of the primal problem and the Mond-Weir type duality problem have no duality gap under the framework of exponential B - p , r -invexity.

Citation

Download Citation

Shun-Chin Ho. "Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B - p , r -Invexity." J. Appl. Math. 2013 (SI21) 1 - 7, 2013. https://doi.org/10.1155/2013/237428

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950571
MathSciNet: MR3108952
Digital Object Identifier: 10.1155/2013/237428

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
7 PAGES


SHARE
Vol.2013 • No. SI21 • 2013
Back to Top