Extended partial b-metric spaces and some fixed point results
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In this paper, we introduce the concept of extended partial b-metric space. We demonstrate a fundamental lemma for the convergence of sequences in such spaces. Then we prove some fixed point results for weakly contractive mappings in the setup of ordered extended partial b-metric spaces. An example is given to verify the effectiveness and applicability of our main results. An application of these results to Volterra-type integral equations is provided at the end.
2018 ◽
Vol 23
(5)
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pp. 664-690
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2021 ◽
Vol 10
(6)
◽
pp. 2687-2710
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