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广义集压缩映射原理及其对积分方程组的应用
引用本文:林道荣 王凡. 广义集压缩映射原理及其对积分方程组的应用[J]. 南通工学院学报(社会科学版), 1996, 12(1): 1-8
作者姓名:林道荣 王凡
作者单位:南通工学院,南通工学院,南通师范专科学校 南通226007
摘    要:本文对Banach空间中映射组证明了一个不动点定理.利用这个定理,我们给出了Banach空间中非线性Fredholm和Volterra积分方程组解的存在性定理,也获得了非线性Volterra积分方程组极值解的存在定理和比较定理.这些定理推广了文[1]中的相应结果.

关 键 词:不动点  积分方程组  集压缩映射

A PRINCIPLE OF GENERALIZED SET-CONTRACTION MAPPING AND ITS APPLICATION TO THE SYSTEM OF INTEGRAL EQUATIONS
Lin Daorong Wang Fan Zhuang Haiyi CNantong Institute of Technology,Nantong Teacher''s college). A PRINCIPLE OF GENERALIZED SET-CONTRACTION MAPPING AND ITS APPLICATION TO THE SYSTEM OF INTEGRAL EQUATIONS[J]. Journal Of Nantong University(Education Sciences Edition), 1996, 12(1): 1-8
Authors:Lin Daorong Wang Fan Zhuang Haiyi CNantong Institute of Technology  Nantong Teacher''s college)
Abstract:This paper,proves a fixed point theorem for the system of mappings in Banach spaces. This theorem gives the existence theorems of solutions for the systems of nonlinear Fredholm and volterra integral equations in Banach spaces. An existence theorem of extremal solutions and a comparison theorem for the system of nonlinear Volterra integral equations are obtained as well. With these theorems,the corresponding results in [1] are extended.
Keywords:fixed piont  system of integral equations  Set-Contraction mapping  
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