Optimality of Vector Optimization Involving Generalized Type-I Functions in Banach  

作　　者：QU He-mei XUE Zhen-xia 

机构地区：[1]Department of Mathematics, Huanghuai College, Zhumadian 463000, China [2]Department of Math-ematics, Henan Science and Technology University, Luoyang 471003, China

出　　处：《Chinese Quarterly Journal of Mathematics》2009年第4期543-550,共8页数学季刊（英文版）

基　　金：Foundation item： Supported by the National Natural Science Foundation of China（60574075） University, engaged in optimization theory and application.

摘　　要：In this note,new classes of generalized type-I functions are introduced for functions between Banach spaces.These generalized type-I functions are then utilized to establish sufficient optimality conditions and duality results for a vector optimization problem with functions defined on a Banach space.

关 键 词：vector optimization optimality conditions type-I functions duality 

分 类 号：O177.2[理学—数学] O224[理学—基础数学]