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On a Nonsmooth Vector Optimization Problem with Generalized Cone Invexity
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-18
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
By using Clarke’s generalized gradients we consider a nonsmooth vector optimization problem with cone constraints and introduce some generalized cone-invex functions called K-α-generalized invex, K-α-nonsmooth invex, and other related functions.
Several sufficient optimality conditions and Mond-Weir type weak and converse duality results are obtained for this problem under the assumptions of the generalized cone invexity.
The results presented in this paper generalize and extend the previously known results in this area.
American Psychological Association (APA)
Jiao, Hehua& Liu, San-Yang. 2012. On a Nonsmooth Vector Optimization Problem with Generalized Cone Invexity. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-473170
Modern Language Association (MLA)
Jiao, Hehua& Liu, San-Yang. On a Nonsmooth Vector Optimization Problem with Generalized Cone Invexity. Abstract and Applied Analysis No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-473170
American Medical Association (AMA)
Jiao, Hehua& Liu, San-Yang. On a Nonsmooth Vector Optimization Problem with Generalized Cone Invexity. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-473170
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473170