几个不动点定理及其在Volterra型积分方程中的应用

Several fixed point theorems and applications for Volterra type integral equations

摘要: 在一般序Banach空间中讨论了一般算子不动点的存在惟一性定理,得到了若干不具有连续性和紧性条件的算子新的不动点定理,并把所得结果应用于Banach空间中的不连续非线性Volterra型积分方程,得到其解的存在惟一性.

Abstract: The existence,uniqueness of fixed point for general operators in Banachs are studied,and some new fixed point theorems of concerned operators,which have no continuous and compact conditions,are obtained.Applying the results to discontinuous nonlinear Volterra type integral equations in Banach spaces,the existence and uniqueness of the solution are obtained.