Banach空间中一类广义混合非线性隐拟变分包含解的三步迭代  

The Three-step Iterative Algorithms for a New Class of Generalized Mixed Nonlinear Implicit Quasi-variational Inclusions in Banach Spaces

作　　者：崔艳兰[1] 刘江蓉[2] 

机构地区：[1]延安大学计算机学院,陕西延安716000 [2]武汉工业学院数理系,湖北武汉430023

出　　处：《应用数学》2004年第2期197-202,共6页Mathematica Applicata

摘　　要：本文引入并研究了实Banach空间中一类新的广义混合非线性隐拟变分包含 ,通过对实Banach空间中的m 增生映象运用Nadler定理和Michael选择定理 ,构建了这类新的广义变分包含解的三步迭代算法 。In this paper,we introduce and study a new class of generalized mixed nonlinear implicit quasi-variational inclusions in real Banach spaces.By using Nadler's Theorem and Michael section theorem for m-accretive mapping in real Banach spaces,we construct some three-step iterative algorithms for solving this class of generalized variational inclusions.And we prove the existence of solution for this kind of variational inclusions and the convergence of iterative sequences generalized by the algorithms in Banach spaces.

关 键 词：BANACH空间 广义混合非线性隐拟变分包含 M-增生映象 收敛性 迭代序列 存在性 

分 类 号：O177.91[理学—数学] O177.2[理学—基础数学]