$S$-metric and fixed point theorem

Journal of Linear and Topological Algebra

دوره 09، شماره 03، آذر 2020، صفحه 213-220   

نوع مقاله: Research Paper

نویسندگان

M. Simkhah Asil¹؛ Sh. Sedghi²؛ N. Shobe³؛ Z. Mitrovic^{* 4}

¹Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

²Department of Mathematics, Qaemshar Branch, Islamic Azad University, Qaemshar, Iran

³Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran

⁴Faculty of Electrical Engineering, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

چکیده

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.

کلیدواژه‌ها

Fixed point؛ implicit relation

مراجع

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