$S$-metric and fixed point theorem
الموضوعات :M. Simkhah Asil 1 , Sh. Sedghi 2 , N. Shobe 3 , Z. Mitrovic 4
1 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Qaemshar Branch, Islamic Azad University, Qaemshar, Iran
3 - Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran
4 - Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
الکلمات المفتاحية: fixed point, implicit relation,
ملخص المقالة :
In this paper, we prove a general fixed point theorem in$\textrm{S}$-metric spaces for maps satisfying an implicitrelation on complete metric spaces. As applications, we get manyanalogues of fixed point theorems in metric spaces for$\textrm{S}$-metric spaces.
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