Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B-p,r-Invexity
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-03
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ho, Shun-Chin. 2013. Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B-p,r-Invexity. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-456246
Modern Language Association (MLA)
Ho, Shun-Chin. Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B-p,r-Invexity. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-456246
American Medical Association (AMA)
Ho, Shun-Chin. Nonsmooth Multiobjective Fractional Programming with Local Lipschitz Exponential B-p,r-Invexity. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-456246
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456246