Weak convergence of fixed point iterations in S-metric spaces

This paper extends the notion of weak convergence in metric spaces to the case of S-metric spaces. Moreover, some results on the weak convergence of fixed point iterations of Banach's, Kannan's, Chatterjee's, Reich's, Hardy and Roger's types of contractions on S-metric spaces are obtained. In addition, an example is presented to demonstrate our primary result.

کلیدواژه ها:

Weak convergence ، Semi S-metric space ، Directed set