Amer F. Jajou, Karel Zimmermann
Notre Dame University
P.O. Box 72, Zouk Michael, Zouk Mosbeh, LEBANON
e-mail: ajajou@ndu.edu.lb
Faculty of Mathematics and Physics
Charles University
25 Malostranske Namesti, Praha 1, CZ-118 00, CZECH REPUBLIC
e-mail: Karel.Zimmermann@mff.cuni.cz

Abstract.The aim of this note is to point out the possibility of extending and unifying the results of Shu-Cherng Fang et al [#!4!#], Xiao-bing Qu et al [#!6!#] and the citations therein to a wider class of optimization problems with additively separable objective function and max-separable constraints. Some ideas of Jajou [#!2!#], Jajou et al [#!3!#] are used throughout the paper. Besides, we use some results of Cuninghame-Green [#!1!#], Vorobjov [#!5!#], in which problems with a less general set of feasible solutions and max-separable objective functions were solved.

Received: February 12, 2008

AMS Subject Classification: 90C30, 90C26, 65K05

Key Words and Phrases: nonlinear optimization, non-convex optimization, max-separable constraints

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 45
Issue: 4