Nonsmooth Semi-Infinite Minmax Programming Involving Generalized(Φ, ρ)-Invexity

作     者：UPADHYAY B B MISHRA S K 

作者机构：Department of Basic Sciences & Humanities National Institute of Technology 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2015年第28卷第4期

页      面：857-875页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学] 

基　　金：supported by the National Board of Higher Mathematics(NBHM) Department of Atomic Energy,India,under Grant No.2/40(12)/2014/R&D-II/10054 

主　　题：Duality, generalized invexity locally Lipschitz functions, minmax programming, semi-infinite programming. 

摘      要：This paper introduces some new generalizations of the concept of （~, p）-invexity for non- differentiable locally Lipschitz functions using the tools of Clarke subdifferential. These functions are used to derive the necessary and sufficient optimality conditions for a class of nonsmooth semi-infinite minmax programming problems, where set of restrictions are indexed in a compact set. Utilizing the sufficient optimality conditions, the authors formulate three types of dual models and establish weak and strong duality results. The results of the paper extend and unify naturally some earlier results from the literature.