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A note on the paper "A fixed point theorems in Sb-metric spaces"

Rohen Yumnam (National Institute of Technology Manipur, Department of Mathematics, Langol, Imphal, India)
Došenović Tatjana (Faculty of Technology, Novi Sad)
Radenović Stojan (Ton Duc Thang University, Nonlinear Analysis Research Group, Ho Chi Minh City, Vietnam + Ton Duc Thang University, Faculty of Mathematics and Statistics, Ho Chi Minh City, Vietnam)

Very recently, N. Souayan and N. Mlaiki [Nazir Souayan and Nabil Mlaiki, A fixed point theorem in Sb-metric spaces, J. Math. Comput. Sci. 16 (2016), 131-139] and S. Sedghi et al. [S. Sedghi, A. Gholidahneb, T. Došenović, J. Esfahani, S. Radenović, Common fixed point of four maps in Sb-metric spaces, to appear in J. Linear Topol. Algebra], introduced the concept of Sb-metric space as a generalization of S-metric space. In this paper, we modified the definition of Sb-metric introduced by Souayan and Mlaiki and prove some coupled common fixed point theorems in Sb-metric space. We also present an example to confirm our theoretical results.

Keywords: S-metric space, Sb-metric space, b-metric space, coupled fixed point