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arXiv · 1902.03108

Chatterjea type fixed point in Partial $b$-metric spaces

Yaé Ulrich Gaba·Collins Amburo Agyingi·Domini Jocema Leko
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Abstract

In this paper, we give and prove two Chatterjea type fixed point theorems on partial $b$-metric space. We propose an extension to the Banach contraction principle on partial $b$-metric space which was already presented by Shukla and also study some related results on the completion of a partial metric type space. In particular, we prove a joint Chatterjea-Kannan fixed point theorem. We verify the $T$-stability of Picard's iteration and conjecture the $P$ property for such maps. We also give examples to illustrate our results.

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Yaé Ulrich Gaba, Collins Amburo Agyingi, Domini Jocema Leko. 2019-02-08. Chatterjea type fixed point in Partial $b$-metric spaces. https://arxiv.org/abs/1902.03108

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