Optimality and Duality for Multiobjective Fractional Programming Involving Nonsmooth Generalized (ℱ, b, ϕ, ρ, θ)-Univex Functions. (20th November 2013)

• Record Type: Journal Article
• Authors: Liu, Jen-Chwan; Liu, Chun-Yu
• Other Names: Hernandez Lerma Onesimo Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 2013(2013)
• Publication Date: 2013-11-20
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2013/284046
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : 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.