Double Controlled Dislocated Quasi-Metric Type Spaces and Some Results

The aim of this work is to introduce double controlled dislocated quasi-metric type spaces and to obtain fixed point results for a pair of multivalued mappings satisfying Kannan-type double controlled contraction in such spaces. An example has been built and a remark has been given which shows that...

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Main Authors: Abdullah Shoaib, Shaif S. Alshoraify, Muhammad Arshad
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/3734126
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author Abdullah Shoaib
Shaif S. Alshoraify
Muhammad Arshad
author_facet Abdullah Shoaib
Shaif S. Alshoraify
Muhammad Arshad
author_sort Abdullah Shoaib
collection DOAJ
description The aim of this work is to introduce double controlled dislocated quasi-metric type spaces and to obtain fixed point results for a pair of multivalued mappings satisfying Kannan-type double controlled contraction in such spaces. An example has been built and a remark has been given which shows that how our result can be used when a corresponding new result in dislocated quasi b-metric type spaces cannot be used. Our results generalize and extend many existing results in the literature.
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institution Kabale University
issn 2314-4629
2314-4785
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publishDate 2020-01-01
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spelling doaj-art-ef46b07ec9b84687b103c5f5a45373c82025-02-03T01:28:43ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/37341263734126Double Controlled Dislocated Quasi-Metric Type Spaces and Some ResultsAbdullah Shoaib0Shaif S. Alshoraify1Muhammad Arshad2Department of Mathematics and Statistics, Riphah International University, Islamabad, PakistanDepartment of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, PakistanDepartment of Mathematics and Statistics, International Islamic University, H-10, Islamabad 44000, PakistanThe aim of this work is to introduce double controlled dislocated quasi-metric type spaces and to obtain fixed point results for a pair of multivalued mappings satisfying Kannan-type double controlled contraction in such spaces. An example has been built and a remark has been given which shows that how our result can be used when a corresponding new result in dislocated quasi b-metric type spaces cannot be used. Our results generalize and extend many existing results in the literature.http://dx.doi.org/10.1155/2020/3734126
spellingShingle Abdullah Shoaib
Shaif S. Alshoraify
Muhammad Arshad
Double Controlled Dislocated Quasi-Metric Type Spaces and Some Results
Journal of Mathematics
title Double Controlled Dislocated Quasi-Metric Type Spaces and Some Results
title_full Double Controlled Dislocated Quasi-Metric Type Spaces and Some Results
title_fullStr Double Controlled Dislocated Quasi-Metric Type Spaces and Some Results
title_full_unstemmed Double Controlled Dislocated Quasi-Metric Type Spaces and Some Results
title_short Double Controlled Dislocated Quasi-Metric Type Spaces and Some Results
title_sort double controlled dislocated quasi metric type spaces and some results
url http://dx.doi.org/10.1155/2020/3734126
work_keys_str_mv AT abdullahshoaib doublecontrolleddislocatedquasimetrictypespacesandsomeresults
AT shaifsalshoraify doublecontrolleddislocatedquasimetrictypespacesandsomeresults
AT muhammadarshad doublecontrolleddislocatedquasimetrictypespacesandsomeresults