广义集压缩映射原理及其对积分方程组的应用  

A Principle of Generalized Set-Contraction Mapping with Applications to Sgutems Of Integral Equations

作　　者：庄海宜[1] 王凡[1] 

机构地区：[1]南通工学院基础部,南通师范专科学校

出　　处：《纺织高校基础科学学报》1996年第1期47-54,共8页Basic Sciences Journal of Textile Universities

摘　　要：证明了Ｒａｎａｃｈ空间中映射组的一个不动点定理．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，得到了非线性Ｖｏｌｔｅｒｒａ积分方程组极值解的存在定理和比较定理．推广了以前的相应结果．In this paper, the authors prove a fixed point theorem for systems of mappings in Banach spaces. Using the theorem, we give the existence of solutions for system of nonlinear Fredholm and Volterra integral equations in Banach Spe A existence theorem of extremal solutions and a compearison theorem for system of nonlinear Volterra integral epations are also obtained.

关 键 词：不动点 积分方程组 集压缩映射 

分 类 号：O175.5[理学—数学]