Thounaojam Indubala, Yumnam Rohen, Mohammad Saeed Khan, Nicola Fabiano, “Common coupled fixed point theorems for a pair of <nobr>$S_{b}$</nobr>-metric spaces”, J. Sib. Fed. Univ. Math. Phys., 2023, Volume 16, Issue 1,Pages <nobr>121

Common coupled fixed point theorems for a pair of $S_{b}$-metric spaces

Thounaojam Indubala^a, Yumnam Rohen^b, Mohammad Saeed Khan^c, Nicola Fabiano^d

^a Department of Mathematics, D. M. college of Arts, Dhanamanjuri University, Imphal, India
^b Department of Mathematics, National Institute of Technology Manipur, Imphal, India
^c Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa
^d "Vinča" Institute of Nuclear Sciences, National Institute of the Republic of Serbia, University of Belgrade, Belgrade, Serbia

Abstract: In this work, we investigate the existence of common coupled fixed point and coupled coincidence points in a setting of two $S_{b}$-metric spaces. Here we use a pair of $w$-compatible mappings. Various results are also given in the form of corollaries.

Keywords: common coupled fixed point, coupled coincidence point, $S_{b}$-metric spaces, $w$-compatible mappings.

UDC: 517.10

Received: 10.07.2022
Received in revised form: 15.09.2022
Accepted: 20.10.2022

Language: English