Some Remarks on Partial Metric Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-019-00854-1
Abstract: In this paper, we investigate some topological properties of partial metric spaces (in short PMS). We give some relationship between metric-like PMS, sequentially isosceles PMS and sequentially equilateral PMS. We also prove a type of… read more here.
Keywords: partial metric; pms; remarks partial; metric spaces ... See more keywords
Fuzzy partial metric spaces
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DOI: 10.1080/03081079.2018.1552687
Abstract: ABSTRACT In this paper we provide a concept of fuzzy partial metric space as an extension to fuzzy setting in the sense of Kramosil and Michalek, of the concept of partial metric due to Matthews.… read more here.
Keywords: partial metric; topology; metric spaces; fuzzy partial ... See more keywords
Generalized cyclic contractions and coincidence points involving a control function on partial metric spaces
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DOI: 10.1108/ajms-07-2020-0023
Abstract: PurposeIn this paper, we use the notion of cyclic representation of a nonempty set with respect to a pair of mappings to obtain coincidence points and common fixed points for a pair of self-mappings satisfying… read more here.
Keywords: partial metric; control function; metric spaces; involving control ... See more keywords
The Existence of Fixed Points for a Different Type of Contractions on Partial b-Metric Spaces
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DOI: 10.1155/2021/5158552
Abstract: The aim of this study is to present fixed point results in the setting of partial b -metric spaces. A different type of contractions is used to prove fixed point results in the given space,… read more here.
Keywords: different type; partial metric; metric spaces; type contractions ... See more keywords
On Orthogonal Partial b -Metric Spaces with an Application
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DOI: 10.1155/2021/6692063
Abstract: In this paper, we initiate the concept of orthogonal partial - metric spaces. We ensure the existence of a unique fixed point for some orthogonal contractive type mappings. Some useful examples are given, and an… read more here.
Keywords: orthogonal partial; partial metric; spaces application; metric spaces ... See more keywords
On the topology of partial metric spaces
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DOI: 10.1515/ms-2017-0338
Abstract: Abstract In this paper, we give some necessary and sufficient conditions under which the topology generated by a partial metric is equivalent to the topology generated by a suitably defined metric. Next, we study some… read more here.
Keywords: topology; topology partial; metric spaces; partial metric ... See more keywords
Partial S-metric spaces and coincidence points
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DOI: 10.2298/fil1914613s
Abstract: In this paper, the concept partial S-metric space is introduced as a generalization of S-metric space. We prove certain coincidence point theorems in partial S-metric spaces. The results we obtain generalize many known results in… read more here.
Keywords: partial metric; spaces coincidence; coincidence points; metric spaces ... See more keywords
Solving nonlinear matrix and Riesz-Caputo fractional differential equations via fixed point theory in partial metric spaces
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DOI: 10.2298/fil2402645n
Abstract: A modified implicit relation and ?-implicit contractive condition are introduced in the setting of relational partial metric spaces and some related fixed point results are derived. Two suitable examples are provided. As an application, sufficient… read more here.
Keywords: differential equations; fractional differential; fixed point; partial metric ... See more keywords
On ψg-interpolative Hardy-Rogers type contractions over rectangular quasi-partial b-metric space with an application
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DOI: 10.2298/fil2422847g
Abstract: In the present study, the concept of a new type of contraction namely ?g-interpolative Hardy-Rogers contraction is introduced which is a unification of g-interpolation and Hardy-Rogers contraction. By utilizing this concept, unique results of the… read more here.
Keywords: interpolative hardy; hardy rogers; hardy; quasi partial ... See more keywords
On p-Cyclic Orbital M-K Contractions in a Partial Metric Space
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DOI: 10.3390/math6070116
Abstract: A cyclic map with a contractive type of condition called p-cyclic orbital M-Kcontraction is introduced in a partial metric space. Sufficient conditions for the existence and uniqueness of fixed points and the best proximity points… read more here.
Keywords: partial metric; orbital contractions; metric space; cyclic orbital ... See more keywords
Interpolative Reich–Rus–Ćirić Type Contractions on Partial Metric Spaces
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DOI: 10.3390/math6110256
Abstract: By giving a counter-example, we point out a gap in the paper by Karapinar (Adv. Theory Nonlinear Anal. Its Appl. 2018, 2, 85–87) where the given fixed point may be not unique and we present… read more here.
Keywords: partial metric; reich rus; rus iri; metric spaces ... See more keywords