IJPAM: Volume 31, No. 3 (2006)
SEMILOCALLY B-E-CONVEX FUNCTIONS
Jin-Bao Jian
, Hua-Qin Pan
, Qing-Jie Hu
College of Mathematics and Information Science
Guangxi University
Nanning, Guangxi, 530004, P.R. CHINA
e-mail: jianjb@gxu.edu.cn
e-mail: panpan04@163.com.cn
Department of Information
Hunan Business College
Changsha, P.R. CHINA




Guangxi University
Nanning, Guangxi, 530004, P.R. CHINA



Hunan Business College
Changsha, P.R. CHINA
Abstract.In this paper, based on the E-convexity, semilocal convexity
and B-vexity, a new class of generalized convexity called
semilocal B-E-convexity is presented. Then some basic and
important properties of the proposed convexity are discussed.
At the same time, some optimality conditions for the
relative generalized convex programming are discussed.
Received: July 28, 2006
AMS Subject Classification: 26A33
Key Words and Phrases: semilocally B-E-convex function, locally starshaped E-convex set, semilocally B-E-convex programmming
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 3