$S$-metric and fixed point theorem

Authors

M. Simkhah Asil Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

N. Shobe Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran

Sh. Sedghi Department of Mathematics, Qaemshar Branch, Islamic Azad University, Qaemshar, Iran

Z. Mitrovic Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

Abstract:

In this paper, we prove a general fixed point theorem in $textrm{S}$-metric spaces for maps satisfying an implicit relation on complete metric spaces. As applications, we get many analogues of fixed point theorems in metric spaces for $textrm{S}$-metric spaces.

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