IJPAM: Volume 70, No. 7 (2011)
ON QUASI-
-CONVEX FUNCTIONS AND
QUASI-
-CONVEX PROGRAMMING

QUASI-

Jianling Li
, Jian Lv
, Xiaohua Chen
College of Mathematics and Information Science
Guangxi University
Nanning, Guangxi, P.R. CHINA



College of Mathematics and Information Science
Guangxi University
Nanning, Guangxi, P.R. CHINA
Abstract. In this paper, a new class of generalized convex functions, called quasi-(E,F)-convex functions, is introduced. Some important properties of it are developed. Further, we introduce quasi-(E,F)-convex programmings and investigate their optimal properties.
Received: April 9, 2011
AMS Subject Classification: 90C, 49M
Key Words and Phrases: (E,F)-convex set, quasi-(E,F)-convex function, quasi-(E,F)-convex programming, optimality condition
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 70
Issue: 7