Some vector optimization problems in Banach spaces with generalized convexity

作     者：Yu, Guolin Liu, Sanyang 

作者机构：N Univ Ethics Res Inst Informat & Syst Comp Sci Yinchuan 750021 Peoples R China Xidian Univ Dept Math Appl Xian Peoples R China 

出 版 物：《COMPUTERS & MATHEMATICS WITH APPLICATIONS》 (计算机与数学及其应用)

年 卷 期：2007年第54卷第11-12期

页      面：1403-1410页

核心收录：

学科分类：08[工学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：National Natural Science Foundation of China  NSFC  (69972036) 

主　　题：vector optimization optimality conditions generalized convexity type-I functions duality 

摘      要：In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. New classes of generalized type-I functions are introduced for functions between Banach spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality conditions and prove some results on duality. (C) 2007 Elsevier Ltd. All rights reserved.