Title :
Generalized (a, ?)-(?, ?)-Convexity in Multi-objective Optimization
Author :
Liu, Xiaoling ; Yuan, Dehui ; Yang, Shengyun ; Xu, Chuanqing
Author_Institution :
Dept. of Math., Hanshan Normal Univ., Chaozhou, China
Abstract :
In this paper, some classes of generalization of convexity are considered in the case of multi-objective optimization problem. Here the functions involved are non-differentiable. on the assumptions of generalized (alpha, rho)-(eta, thetas)-invexity, we have established the Karush-Kuhn-Tucker sufficient and necessary optimality conditions.
Keywords :
convex programming; Karush-Kuhn-Tucker; convexity generalization; invexity generalization; multiobjective optimization; nonlinear programming problem; optimality condition; Chaos; Functional programming; Mathematics;
Conference_Titel :
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3605-7
DOI :
10.1109/CSO.2009.408
