一类单调算子方程解的存在性定理  

Existence Theorems of One Class of Monotone Operator's Solutions

作　　者：刘斌斌[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（理科版）》2008年第1期17-20,共4页Journal of Nanchang University(Natural Science)

基　　金：南昌大学校基金资助项目(Z03360)

摘　　要：利用迭代去探讨非线性方程的不动点已经成为一种常用的方法.在正规锥中,在对一类比混合算子更具有广泛意义的算子没有作任何连续性及紧性要求的条件下,利用迭代的方法对这类仅具有凹(凸)性算子的不动点进行了研究,得出了一些新结果.。Using Mann monotone iterative method to discuss the fixed points of a series of nonlinear operators has been enjoying good popularity. This paper is devoted to a class of nonlinear operators with convexity and concavity in normal cone and Mann monotone iterative method is used to discuss the fixed point existence problems of one kind of more extensive operators compared with monotone operator. Some new results are acquired without any hypothesis of operator＇s continuity and compactness.

关 键 词：正规锥 凹(凸)算子 l-型亚混合单调算子 不动点 

分 类 号：O177[理学—数学]