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arXiv · 1612.05521

Relation-theoretic contraction principle in metric-like as well as partial metric spaces

Md Ahmadullah·Abdur Rauf Khan·Mohammad Imdad
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Abstract

In this paper, we extend the Banach contraction principle to metric-like as well as partial metric spaces (not essentially complete) equipped with an arbitrary binary relation. Thereafter, we derive some fixed point results which are sharper versions of the corresponding known results of the existing literature. Finally, we use an example to demonstrate our main result.

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Md Ahmadullah, Abdur Rauf Khan, Mohammad Imdad. 2016-12-15. Relation-theoretic contraction principle in metric-like as well as partial metric spaces. https://arxiv.org/abs/1612.05521

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