New Optimality Conditions for a Nondifferentiable Fractional Semipreinvex Programming Problem
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-12
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
We study a nondifferentiable fractional programming problem as follows: (P)minx∈Kf(x)/g(x) subject to x∈K⊆X, hi(x)≤0, i=1,2,…,m, where K is a semiconnected subset in a locally convex topological vector space X, f:K→ℝ, g:K→ℝ+ and hi:K→ℝ, i=1,2,…, m.
If f, -g, and hi, i=1,2,…,m, are arc-directionally differentiable, semipreinvex maps with respect to a continuous map γ:[0,1]→K⊆X satisfying γ(0)=0 and γ′(0+)∈K, then the necessary and sufficient conditions for optimality of (P) are established.
American Psychological Association (APA)
Chen, Yi-Chou& Du, Wei-Shih. 2013. New Optimality Conditions for a Nondifferentiable Fractional Semipreinvex Programming Problem. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1005928
Modern Language Association (MLA)
Chen, Yi-Chou& Du, Wei-Shih. New Optimality Conditions for a Nondifferentiable Fractional Semipreinvex Programming Problem. Journal of Applied Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1005928
American Medical Association (AMA)
Chen, Yi-Chou& Du, Wei-Shih. New Optimality Conditions for a Nondifferentiable Fractional Semipreinvex Programming Problem. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1005928
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1005928