# A fixed point theorem in $S_b$-metric spaces

Volume 16, Issue 2, pp 131-139 Publication Date: June 15, 2016       Article History
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### Authors

N. Souayah - Department of Natural Sciences, Community College of Riyadh, King Saud University, Riyadh, Saudi Arabia. N. Mlaiki - Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.

### Abstract

In this paper, we introduce an interesting extension of the $S$-metric spaces called $S_b$-metric spaces, in which we show the existence of fixed point for a self mapping defined on such spaces. We also prove some results on the topology of the $S_b$-metric spaces.

### Keywords

• Functional analysis
• $S_b$-metric space
• common fixed point.

•  47H10

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