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A Class of Semilocal E-Preinvex Functions and Its Applications in Nonlinear Programming
Joint Authors
Pai, Xinying
Liu, San-Yang
Jiao, Hehua
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-16
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
A kind of generalized convex set, called as local star-shaped E-invex set with respect to η, is presented, and some of its important characterizations are derived.
Based on this concept, a new class of functions, named as semilocal E-preinvex functions, which is a generalization of semi-E-preinvex functions and semilocal E-convex functions, is introduced.
Simultaneously, some of its basic properties are discussed.
Furthermore, as its applications, some optimality conditions and duality results are established for a nonlinear programming.
American Psychological Association (APA)
Jiao, Hehua& Liu, San-Yang& Pai, Xinying. 2012. A Class of Semilocal E-Preinvex Functions and Its Applications in Nonlinear Programming. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993435
Modern Language Association (MLA)
Jiao, Hehua…[et al.]. A Class of Semilocal E-Preinvex Functions and Its Applications in Nonlinear Programming. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-993435
American Medical Association (AMA)
Jiao, Hehua& Liu, San-Yang& Pai, Xinying. A Class of Semilocal E-Preinvex Functions and Its Applications in Nonlinear Programming. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993435
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993435