{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T04:08:48Z","timestamp":1771646928919,"version":"3.50.1"},"reference-count":23,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2023,6,21]],"date-time":"2023-06-21T00:00:00Z","timestamp":1687305600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12061050"],"award-info":[{"award-number":["12061050"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["2020MS01004"],"award-info":[{"award-number":["2020MS01004"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["NJZY22324"],"award-info":[{"award-number":["NJZY22324"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004763","name":"Natural Science Foundation of Inner Mongolia","doi-asserted-by":"publisher","award":["12061050"],"award-info":[{"award-number":["12061050"]}],"id":[{"id":"10.13039\/501100004763","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004763","name":"Natural Science Foundation of Inner Mongolia","doi-asserted-by":"publisher","award":["2020MS01004"],"award-info":[{"award-number":["2020MS01004"]}],"id":[{"id":"10.13039\/501100004763","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004763","name":"Natural Science Foundation of Inner Mongolia","doi-asserted-by":"publisher","award":["NJZY22324"],"award-info":[{"award-number":["NJZY22324"]}],"id":[{"id":"10.13039\/501100004763","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Research Program of science and technology at Universities of Inner Mongolia Autonomous Region","award":["12061050"],"award-info":[{"award-number":["12061050"]}]},{"name":"Research Program of science and technology at Universities of Inner Mongolia Autonomous Region","award":["2020MS01004"],"award-info":[{"award-number":["2020MS01004"]}]},{"name":"Research Program of science and technology at Universities of Inner Mongolia Autonomous Region","award":["NJZY22324"],"award-info":[{"award-number":["NJZY22324"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we state and establish a new fixed point theorem for generalized \u0106iri\u0107-type contraction in Kaleva-Seikkala\u2019s type fuzzy b-metric space. Our results improve and extend some well-known results in the literature. Some examples are given to support our result. Finally, as an application, we show the existence and uniqueness of solution to Volterra integral equation formulated in Kaleva\u2013Seikkala\u2019s type fuzzy b-metric space.<\/jats:p>","DOI":"10.3390\/axioms12070616","type":"journal-article","created":{"date-parts":[[2023,6,22]],"date-time":"2023-06-22T02:09:17Z","timestamp":1687399757000},"page":"616","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Fixed Point Theorem for Generalized \u0106iri\u0107-Type Contraction in Kaleva\u2013Seikkala\u2019s Type Fuzzy b-Metric Spaces"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-4404-8304","authenticated-orcid":false,"given":"Jiaojiao","family":"Wu","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China"},{"name":"School of Statistics and Mathematics, Inner Mongolia University of Financial and Economic, Hohhot 010070, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5638-0004","authenticated-orcid":false,"given":"Fei","family":"He","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4392-5735","authenticated-orcid":false,"given":"Shufang","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,6,21]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/0165-0114(84)90069-1","article-title":"On fuzzy metric spaces","volume":"12","author":"Kaleva","year":"1984","journal-title":"Fuzzy Sets Syst."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"2596","DOI":"10.1016\/j.fss.2008.05.008","article-title":"On the completion of fuzzy metric spaces","volume":"159","author":"Huang","year":"2008","journal-title":"Fuzzy Sets Syst."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/j.fss.2013.09.003","article-title":"Set-valued Ekeland catiational principles in fuzzy metric spaces","volume":"245","author":"Qiu","year":"2014","journal-title":"Fuzzy Sets Syst."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1186\/1687-1812-2013-254","article-title":"Fixed point theorems for complex non-self mappings satisfying an impllicit relation in Kaleva-Seikkala\u2019s type fuzzy metric spaces","volume":"2013","author":"Song","year":"2013","journal-title":"Fixed Point Theory Appl."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.fss.2011.10.010","article-title":"Fixed point theorems for nonlinear contractions in Kaleva-Seikkala\u2019s type fuzzy metric spaces","volume":"200","author":"Xiao","year":"2012","journal-title":"Fuzzy Sets Syst."},{"key":"ref_6","first-page":"26","article-title":"The contraction mapping principle in quasi-metric spaces","volume":"30","author":"Bakhtin","year":"1989","journal-title":"Funct. 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