S∗p‐b-Partial Metric Spaces with some Results in Common Fixed Point Theorems

In this paper, we introduce the notion of S∗P‐b-partial metric spaces which is a generalization each of S‐b-metric spaces and partial-metric space. Also, we study and prove some topological properties, to know the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed...

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Main Author: A. M. Zidan
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5586936
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author A. M. Zidan
author_facet A. M. Zidan
author_sort A. M. Zidan
collection DOAJ
description In this paper, we introduce the notion of S∗P‐b-partial metric spaces which is a generalization each of S‐b-metric spaces and partial-metric space. Also, we study and prove some topological properties, to know the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorem in these spaces.
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series Journal of Function Spaces
spelling doaj-art-c779296d59cd479c9cccbe0ea1be55952025-08-20T02:20:06ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55869365586936S∗p‐b-Partial Metric Spaces with some Results in Common Fixed Point TheoremsA. M. Zidan0Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi ArabiaIn this paper, we introduce the notion of S∗P‐b-partial metric spaces which is a generalization each of S‐b-metric spaces and partial-metric space. Also, we study and prove some topological properties, to know the convergence of the sequences and Cauchy sequence. Finally, we study a new common fixed point theorem in these spaces.http://dx.doi.org/10.1155/2021/5586936
spellingShingle A. M. Zidan
S∗p‐b-Partial Metric Spaces with some Results in Common Fixed Point Theorems
Journal of Function Spaces
title S∗p‐b-Partial Metric Spaces with some Results in Common Fixed Point Theorems
title_full S∗p‐b-Partial Metric Spaces with some Results in Common Fixed Point Theorems
title_fullStr S∗p‐b-Partial Metric Spaces with some Results in Common Fixed Point Theorems
title_full_unstemmed S∗p‐b-Partial Metric Spaces with some Results in Common Fixed Point Theorems
title_short S∗p‐b-Partial Metric Spaces with some Results in Common Fixed Point Theorems
title_sort s∗p b partial metric spaces with some results in common fixed point theorems
url http://dx.doi.org/10.1155/2021/5586936
work_keys_str_mv AT amzidan spbpartialmetricspaceswithsomeresultsincommonfixedpointtheorems