{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:49:01Z","timestamp":1760237341224,"version":"build-2065373602"},"reference-count":46,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2020,3,31]],"date-time":"2020-03-31T00:00:00Z","timestamp":1585612800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper we introduce the concepts of    \u03c8   -contraction and monotone    \u03c8   -contraction correspondence in \u201cfuzzy    b-metric spaces\u201d and obtain fixed point results for these contractive mappings. The obtained results generalize some existing ones in fuzzy metric spaces and \u201cfuzzy    b-metric spaces\u201d. Further we address an open problem in    b   -metric and \u201cfuzzy    b   -metric spaces\u201d. To elaborate the results obtained herein we provide an example that shows the usability of the obtained results.<\/jats:p>","DOI":"10.3390\/axioms9020036","type":"journal-article","created":{"date-parts":[[2020,3,31]],"date-time":"2020-03-31T13:27:19Z","timestamp":1585661239000},"page":"36","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Fuzzy b-Metric Spaces: Fixed Point Results for \u03c8-Contraction Correspondences and Their Application"],"prefix":"10.3390","volume":"9","author":[{"given":"Mujahid","family":"Abbas","sequence":"first","affiliation":[{"name":"Department of Mathematics, Government College University, Lahore 54770, Pakistan"},{"name":"Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria 0002, South Africa"}]},{"given":"Fatemeh","family":"Lael","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin 3451745346, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1485-6163","authenticated-orcid":false,"given":"Naeem","family":"Saleem","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Management and Technology, Lahore 54400, Pakistan"}]}],"member":"1968","published-online":{"date-parts":[[2020,3,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"133","DOI":"10.4064\/fm-3-1-133-181","article-title":"Sur les op\u00e9rations dans les ensembles abstraits et leur application aux \u00e9quations int\u00e9grales","volume":"3","author":"Banach","year":"1922","journal-title":"Fund. 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