A fixed point theorem in \(S_b\)-metric spaces


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.


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ISRP Style

N. Souayah, N. Mlaiki, A fixed point theorem in \(S_b\)-metric spaces, Journal of Mathematics and Computer Science, 16 (2016), no. 2, 131-139

AMA Style

Souayah N., Mlaiki N., A fixed point theorem in \(S_b\)-metric spaces. J Math Comput SCI-JM. (2016); 16(2):131-139

Chicago/Turabian Style

Souayah, N., Mlaiki, N.. "A fixed point theorem in \(S_b\)-metric spaces." Journal of Mathematics and Computer Science, 16, no. 2 (2016): 131-139


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