On Some Well Known Fixed Point Theorems in b-Metric Spaces

By Mehmet Kir, Hukmi Kiziltunç. 2013

147 citations recorded by the source corpus.

In this paper, our purpose is to show that Kannan Type and Chatterjea type contractive mappings have unique fixed point in b-metric spaces. Also, we see surprisingly a way that contrary to the known (usual) metric spaces, any contraction mapping is not need to be a weak conraction mapping in b-metric spaces.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/72be96716c242614468ca37a945e600a7757411b

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In Geometry and Topology

1. Nabil Mlaikib
2. Nizar Souayaha

Citations in the corpus

• A fixed point theorem in S_b-metric spaces (2016, background): “Czerwick [5] extended the Banach principle contraction and its generalizations under different contractions [1, 4, 6, 7, 10, 15, 16, 17, 18] and [19].”
• Some Fixed Point Theorems in b-metric Space (2014, background): “Many researchers including Aydi [1], Boriceanu [3,4,5], Bota [6], Chug [7], Du [12], Kir [14], Olaru [15], Olatinwo [16], Pǎcurar [17,18], Rao [19], Roshan [21] and Shi [22] studied the extension of fixed point theorems in b-metric space.”