Weak convergence of fixed point iterations in $S$-metric spaces

Document Type : Research Paper


1 Department of Mathematics, Alagappa University, Karaikudi-630 003, India

2 PG and Research Department of Mathematics, Sethupathy Government Arts College, Ramanathapuram-623502, India


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.


Main Subjects

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