Common Fixed Points of Single-Valued and Multi-Valued Mappings in S-Metric Spaces

Akbar Pourgholam (Department of Pure Mathematics, Faculty of Mathematical Sciences,9 Lahijan Branch, Islamic Azad University, Lahijan, IRAN)
Masoud Sabbaghan (Department of Pure Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, IRAN)
Fatemeh Taleghani (Department of Pure Mathematics, Faculty of Mathematical Sciences,Lahijan Branch, Islamic Azad University, Lahijan, IRAN)

Journal of the Indonesian Mathematical Society
VOLUME 28 NUMBER 1 (MARCH 2022)

In this paper, the notion of limit property (-Tayyab kamran, 2004-) and common limit property (-Yicheng Liu & Jun Wu & Zhixiang Li, 2005-) for singlevalued and multi-valued mappings on metric spaces are generalized to S-metric spaces. This idea is used to make some common fixed point theorems for singlevalued and multi-valued mappings by using a generalization of coincidence point in S-metric spaces. We give an example of an S-metric which is not continuous.