无正规条件下锥赋范空间上Perov型拟压缩映射不动点定理及其应用

Fixed Point Theorems of Perov-type Quasi-contractionsin Cone Normed Spaces without the Condition of Normality

无需正规性条件,利用锥度量空间的有关理论,在底锥是体锥的条件下,得到了锥赋范空间上Perov型拟压缩映射的新不动点定理,并将主要结果应用于非线性Volterra型积分方程.

In this paper,by omitting the assumption of normality we employ the theory of cone metric spaces to obtain the theorems concerning existence and uniqueness of the fixed point for the Perov—type quasi-contractions in the setting of cone normed spaces.In addition,one of the main results is applied to a class of nonlinear Volterra integral equations.