IJPAM: Volume 22, No. 4 (2005)

OPTIMALITY CONDITIONS AND DUALITY IN
NONLINEAR PROGRAMMING INVOLVING
SEMI-LOCALLY B-SEMI-PREINVEX AND
RELATED FUNCTIONS

Zhi-ming Luo$^1$, Qing-jie Hu$^2$
$^{1,2}$Department of Informatics
Hunan Business College
Changsha, Hunan, 410205, P.R. CHINA
$^1$e-mail: zhi_ming_luo@yahoo.com.cn
$^2$e-mail: hqj0525@126.com.cn


Abstract.A nonlinear programming problem is considered where the functions involved are semi-local differentiable. Necessary optimality conditions and sufficient optimality conditions are given. Mixed type duality results are formulated in terms of semi-local differentiable. These results are given by using the concepts of semi-locally B-semi-preinvex and related functions. Our results generalize the ones obtained by [#!2!#], [#!6!#], [#!7!#], [#!8!#].

Received: May 28, 2005

AMS Subject Classification: 65H12, 90C12

Key Words and Phrases: semi-locally B-semi-preinvex function, semi-local differentiable, optimality conditions, mixed type duality

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 22
Issue: 4