半李普希兹算子方程的逼近可解性  

The Approximation Solvability of the Equation for Semi-Lipschitz Maps

作　　者：伊宏伟[1] 

机构地区：[1]铁岭师范高等专科学校理工系,辽宁铁岭112001

出　　处：《应用数学》2007年第4期671-674,共4页Mathematica Applicata

摘　　要：本文先在(π)1空间的闭集上证明了凝聚映射必为A-proper映射,运用此性质证明了型如f(x)-λx=0方程当f为弱内向、半李普希兹映射时是弱逼近可解的,若f为李普希兹型映射,方程还是强逼近可解的.In this paper, the A-properness of condensing map is obtained. Then, we prove that the equation f（x）-λx=0 is feebly approximation solvable for weakly inward and semiLipschitz maps. At the same time,the strongly approximation solvability of the equation for Lipschitz map is established.

关 键 词：(π)1空间 A-PROPER映射 弱内向映射 k-集-压缩映射 凝聚映射 半李普希兹映射 方程强(弱)逼近可解性 

分 类 号：O177.91[理学—数学]