非线性多值算子扰动的映射定理

Mapping Theorems Involving Perturbations of Nonlinear Multivalued Operators

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.

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].