T-单调映射及其性质  

T-monotone Mapping and its Properties

作　　者：曾金平[1] 许鸿儒[2] 

机构地区：[1]东莞理工学院软件学院,广东东莞523808 [2]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《应用数学》2008年第2期288-292,共5页Mathematica Applicata

基　　金：国家自然科学基金项目(10671060)

摘　　要：T-单调映射在变分不等式及非线性互补问题中经常遇到.此映射对应的非线性问题的解具有一些非常好的性质.这些性质在解的存在性证明,数值算法的构造及其收敛性分析中占有重要地位.本文系统讨论T-单调映射的性质,建立T-单调映射与常见的一些映射,如单调映射和Z-映射之间的联系.T- monotone complementarity problems. mappings often occur in variational inequalities and nonlinear The problems involved in T- monotone mapping have many favorable properties. These properties take an important role in the proof of the existence of the solution,the construction and convergence analysis of the algorithms. In this paper,we discuss the properties of T- monotone mappings. We also investigate relationship between the T- monotone mapping and some well known function classes,such as monotone mapping and Z- mapping.

关 键 词：T-单调 单调 Z-映射 

分 类 号：O221[理学—运筹学与控制论]