王为民,赵义纯.非线性多值算子扰动的映射定理[J].数学研究及应用,1999,19(5):225~229
非线性多值算子扰动的映射定理
Mapping Theorems Involving Perturbations of Nonlinear Multivalued Operators
投稿时间:1995-03-28  
DOI:10.3770/j.issn:1000-341X.1999.05.013
中文关键词:  1-集压缩算子  γ-凝聚算子  m-增生算子
英文关键词:1-set contraction operator  γ-condesing operators  m-accretive operator.
基金项目:
作者单位
王为民 浙江工业大学基础部 
赵义纯 东北大学数学系 
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中文摘要:
      本文讨论非线性多值算子的非紧扰动的映射定理,并给出非线性泛函方程z∈T(x)+F(x)可解性的最新结果,其中T是多值算子且(T+1/nI)-1是1-集压缩,而F是1-集压缩或γ-凝聚.所得的结果改善了[5,8,12]中的主要结果
英文摘要:
      It is the purpose of this paper to discuss mapping theorems involving non-compact perturbations of nonlinear multivalued operators. We give some recent results concerning the solvability of the nonlinear functional equation z∈T(x)+F(x), where T is a multivalued operator such that (T+1/nI)-1 are 1-set contractions and F is an 1-set contraction or a γ-condensing. Our results improve the main results in [5,8,12].
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