Fuzzy b-Metric Spaces: Fixed Point Results for <em>ψ</em>-Contraction Correspondences and Their Application
In this paper we introduce the concepts of <inline-formula> <math display="inline"> <semantics> <mi>ψ</mi> </semantics> </math> </inline-formula>-contraction and monotone <inline-formula> <math display="inline"> <sema...
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| Language: | English |
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MDPI AG
2020-03-01
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| Online Access: | https://www.mdpi.com/2075-1680/9/2/36 |
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| author | Mujahid Abbas Fatemeh Lael Naeem Saleem |
| author_facet | Mujahid Abbas Fatemeh Lael Naeem Saleem |
| author_sort | Mujahid Abbas |
| collection | DOAJ |
| description | In this paper we introduce the concepts of <inline-formula> <math display="inline"> <semantics> <mi>ψ</mi> </semantics> </math> </inline-formula>-contraction and monotone <inline-formula> <math display="inline"> <semantics> <mi>ψ</mi> </semantics> </math> </inline-formula>-contraction correspondence in “fuzzy <inline-formula> <math display="inline"> <semantics> <mi mathvariant="fraktur">b</mi> </semantics> </math> </inline-formula>-metric spaces” and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and “fuzzy <inline-formula> <math display="inline"> <semantics> <mi mathvariant="fraktur">b</mi> </semantics> </math> </inline-formula>-metric spaces”. Further we address an open problem in <inline-formula> <math display="inline"> <semantics> <mi mathvariant="fraktur">b</mi> </semantics> </math> </inline-formula>-metric and “fuzzy <inline-formula> <math display="inline"> <semantics> <mi mathvariant="fraktur">b</mi> </semantics> </math> </inline-formula>-metric spaces”. To elaborate the results obtained herein we provide an example that shows the usability of the obtained results. |
| first_indexed | 2024-03-10T20:46:18Z |
| format | Article |
| id | doaj.art-cdafb6442fa24cb78f6136e51a308bc0 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-10T20:46:18Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-cdafb6442fa24cb78f6136e51a308bc02023-11-19T20:17:23ZengMDPI AGAxioms2075-16802020-03-01923610.3390/axioms9020036Fuzzy b-Metric Spaces: Fixed Point Results for <em>ψ</em>-Contraction Correspondences and Their ApplicationMujahid Abbas0Fatemeh Lael1Naeem Saleem2Department of Mathematics, Government College University, Lahore 54770, PakistanDepartment of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin 3451745346, IranDepartment of Mathematics, University of Management and Technology, Lahore 54400, PakistanIn this paper we introduce the concepts of <inline-formula> <math display="inline"> <semantics> <mi>ψ</mi> </semantics> </math> </inline-formula>-contraction and monotone <inline-formula> <math display="inline"> <semantics> <mi>ψ</mi> </semantics> </math> </inline-formula>-contraction correspondence in “fuzzy <inline-formula> <math display="inline"> <semantics> <mi mathvariant="fraktur">b</mi> </semantics> </math> </inline-formula>-metric spaces” and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and “fuzzy <inline-formula> <math display="inline"> <semantics> <mi mathvariant="fraktur">b</mi> </semantics> </math> </inline-formula>-metric spaces”. Further we address an open problem in <inline-formula> <math display="inline"> <semantics> <mi mathvariant="fraktur">b</mi> </semantics> </math> </inline-formula>-metric and “fuzzy <inline-formula> <math display="inline"> <semantics> <mi mathvariant="fraktur">b</mi> </semantics> </math> </inline-formula>-metric spaces”. To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.https://www.mdpi.com/2075-1680/9/2/36fixed pointcorrespondencefuzzy ?-metric space?-metric space |
| spellingShingle | Mujahid Abbas Fatemeh Lael Naeem Saleem Fuzzy b-Metric Spaces: Fixed Point Results for <em>ψ</em>-Contraction Correspondences and Their Application Axioms fixed point correspondence fuzzy ?-metric space ?-metric space |
| title | Fuzzy b-Metric Spaces: Fixed Point Results for <em>ψ</em>-Contraction Correspondences and Their Application |
| title_full | Fuzzy b-Metric Spaces: Fixed Point Results for <em>ψ</em>-Contraction Correspondences and Their Application |
| title_fullStr | Fuzzy b-Metric Spaces: Fixed Point Results for <em>ψ</em>-Contraction Correspondences and Their Application |
| title_full_unstemmed | Fuzzy b-Metric Spaces: Fixed Point Results for <em>ψ</em>-Contraction Correspondences and Their Application |
| title_short | Fuzzy b-Metric Spaces: Fixed Point Results for <em>ψ</em>-Contraction Correspondences and Their Application |
| title_sort | fuzzy b metric spaces fixed point results for em ψ em contraction correspondences and their application |
| topic | fixed point correspondence fuzzy ?-metric space ?-metric space |
| url | https://www.mdpi.com/2075-1680/9/2/36 |
| work_keys_str_mv | AT mujahidabbas fuzzybmetricspacesfixedpointresultsforempsemcontractioncorrespondencesandtheirapplication AT fatemehlael fuzzybmetricspacesfixedpointresultsforempsemcontractioncorrespondencesandtheirapplication AT naeemsaleem fuzzybmetricspacesfixedpointresultsforempsemcontractioncorrespondencesandtheirapplication |