中文摘要：

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.

英文摘要：

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.