The use of the E-metric spaces in the search for fixed points

Le Matematiche

关键词: E-metric space;    Fixed point;    Nonlinear contraction;    Nonlinear Cauchy-Kowalewski theorem;   

DOI  :  

来源: DOAJ

【 摘 要 】

We prove some general theorems on the convergence of successive approximations x_n=Ax_n-1 to a fixed point of a nonlinear contraction mapping A defined on an E-metric space. We derive, as applications, some fixed point theorems in uniform spaces and an abstract Cauchy-Kowalewski type theorem.

【 授权许可】

Unknown