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

Akbar Pourgholam; Masoud Sabbaghan; Fatemeh Taleghani

doi:10.22342/jims.28.1.1106.19-30

Akbar Pourgholam ⁽¹⁾ , Masoud Sabbaghan ⁽²⁾ , Fatemeh Taleghani ⁽³⁾

(1) Department of Pure Mathematics, Faculty of Mathematical Sciences,9 Lahijan Branch, Islamic Azad University, Lahijan, IRAN, Iran, Islamic Republic of,

(2) Department of Pure Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, IRAN, Iran, Islamic Republic of,

(3) Department of Pure Mathematics, Faculty of Mathematical Sciences,Lahijan Branch, Islamic Azad University, Lahijan, IRAN, Iran, Islamic Republic of

https://doi.org/10.22342/jims.28.1.1106.19-30

Issue
VOLUME 28 NUMBER 1 (MARCH 2022)

Submitted
November 26, 2021

Accepted
March 10, 2022

Published
March 20, 2022

Keywords:

Coincidence point, Fixed point, Hausdorff S-metric, Limit property

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Abstract

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.

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Authors

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

masoudsabbaghan99@gmail.com (Primary Contact)

Fatemeh Taleghani

Department of Pure Mathematics, Faculty of Mathematical Sciences,Lahijan Branch, Islamic Azad University, Lahijan, IRAN

Pourgholam, A., Sabbaghan, M., & Taleghani, F. (2022). Common Fixed Points of Single-Valued and Multi-Valued Mappings in S-Metric Spaces. Journal of the Indonesian Mathematical Society, 28(1), 19–30. https://doi.org/10.22342/jims.28.1.1106.19-30