Multiobjective Fractional Programming Involving Generalized Semilocally V-Type I-Preinvex and Related Functions
Joint Authors
Slimani, Hachem
Mishra, Shashi Kant
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-05
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We study a nonlinear multiple objective fractional programming with inequality constraints where each component of functions occurring in the problem is considered semidifferentiable along its own direction instead of the same direction.
New Fritz John type necessary and Karush-Kuhn-Tucker type necessary and sufficient efficiency conditions are obtained for a feasible point to be weakly efficient or efficient.
Furthermore, a general Mond-Weir dual is formulated and weak and strong duality results are proved using concepts of generalized semilocally V-type I-preinvex functions.
This contribution extends earlier results of Preda (2003), Mishra et al.
(2005), Niculescu (2007), and Mishra and Rautela (2009), and generalizes results obtained in the literature on this topic.
American Psychological Association (APA)
Slimani, Hachem& Mishra, Shashi Kant. 2014. Multiobjective Fractional Programming Involving Generalized Semilocally V-Type I-Preinvex and Related Functions. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-476285
Modern Language Association (MLA)
Slimani, Hachem& Mishra, Shashi Kant. Multiobjective Fractional Programming Involving Generalized Semilocally V-Type I-Preinvex and Related Functions. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-476285
American Medical Association (AMA)
Slimani, Hachem& Mishra, Shashi Kant. Multiobjective Fractional Programming Involving Generalized Semilocally V-Type I-Preinvex and Related Functions. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-476285
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476285