Optimality and Duality for Multiobjective Fractional Programming Involving Nonsmooth Generalized (ℱ,b,ϕ,ρ,θ)-Univex Functions
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-20
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We establish properly efficient necessary and sufficient optimality conditions for multiobjective fractional programming involving nonsmooth generalized (ℱ,b,ϕ,ρ,θ)-univex functions.
Utilizing the necessary optimality conditions, we formulate the parametric dual model and establish some duality results in the framework of generalized (ℱ,b,ϕ,ρ,θ)-univex functions.
American Psychological Association (APA)
Liu, Jen-Chwan& Liu, Chun-Yu. 2013. Optimality and Duality for Multiobjective Fractional Programming Involving Nonsmooth Generalized (ℱ,b,ϕ,ρ,θ)-Univex Functions. International Journal of Mathematics and Mathematical Sciences،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-460247
Modern Language Association (MLA)
Liu, Jen-Chwan& Liu, Chun-Yu. Optimality and Duality for Multiobjective Fractional Programming Involving Nonsmooth Generalized (ℱ,b,ϕ,ρ,θ)-Univex Functions. International Journal of Mathematics and Mathematical Sciences No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-460247
American Medical Association (AMA)
Liu, Jen-Chwan& Liu, Chun-Yu. Optimality and Duality for Multiobjective Fractional Programming Involving Nonsmooth Generalized (ℱ,b,ϕ,ρ,θ)-Univex Functions. International Journal of Mathematics and Mathematical Sciences. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-460247
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460247
