A new approach in the context of ordered incomplete partial <i>b</i>-metric spaces
<p>The main purpose of this paper is to find some fixed point results with a new approach, particularly in those cases where the existing literature remains silent. More precisely, we introduce partial completeness, <em>f̄</em>-orbitally completeness, a new type of contractions and...
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2020
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| Summary: | <p>The main purpose of this paper is to find some fixed point results with a new approach, particularly in those cases where the existing literature remains silent. More precisely, we introduce partial completeness, <em>f̄</em>-orbitally completeness, a new type of contractions and many other notions. We also ensure the existence of fixed points for non-contraction maps in the class of incomplete partial <em>b</em>-metric spaces. We have reported some examples in support of our results.</p> <h2>Other information</h2> <p>Published in: Open Mathematics<br> License: <a href="http://creativecommons.org/licenses/by/4.0" target="_blank">http://creativecommons.org/licenses/by/4.0</a><br> See article on publisher's website: <a href="http://dx.doi.org/10.1515/math-2020-0054" target="_blank">http://dx.doi.org/10.1515/math-2020-0054</a></p> |
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