IJPAM: Volume 22, No. 2 (2005)
College of Mathematics and Information Science
Nanning, Guangxi, 530004, P.R. CHINA
Abstract.In this paper, a new class of non-convex functions, called -semi--convex (quasi--semi--convex, pseudo--semi--convex) functions is introduced, and some of their basic characters are discussed. At the same time, some sufficient optimality conditions and duality theorems for the nonlinear -semi--convex programming with inequality constraints are studied.
Received: June 28, 2005
AMS Subject Classification: 26A33
Key Words and Phrases: -convex set, -semi--convex function, -semi--convex programming, optimality conditions, duality theorems
Source: International Journal of Pure and Applied Mathematics