Semistrict G-Preinvexity and Optimality in Nonlinear Programming. (7th May 2013)

• Record Type: Journal Article
• Authors: Peng, Z. Y.; Lin, Z.; Li, X. B.
• Other Names: Atakishiyev Natig M. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-05-07
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/103864
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : A class of semistrictly G -preinvex functions and optimality in nonlinear programming are further discussed. Firstly, the relationships between semistrictly G -preinvex functions and G -preinvex functions are further discussed. Then, two interesting properties of semistrictly G -preinvexity are given. Finally, two optimality results for nonlinear programming problems are obtained under the assumption of semistrict G -preinvexity. The obtained results are new and different from the corresponding ones in the literature. Some examples are given to illustrate our results.