{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,25]],"date-time":"2026-03-25T05:48:12Z","timestamp":1774417692994,"version":"3.50.1"},"reference-count":22,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T00:00:00Z","timestamp":1559347200000},"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 manuscript, we introduce almost b-metric spaces and prove modifications of fixed point theorems for Reich and Hardy\u2013Rogers type contractions. We present an approach generalizing some fixed point theorems to the case of almost b-metric spaces by reducing almost b-metrics to the corresponding b-metrics. Later, we show that this approach can not work for all kinds of contractions. To confirm this, we present a proof in which the contraction condition is such that it cannot be reduced to corresponding b-metrics.<\/jats:p>","DOI":"10.3390\/axioms8020070","type":"journal-article","created":{"date-parts":[[2019,6,3]],"date-time":"2019-06-03T02:08:40Z","timestamp":1559527720000},"page":"70","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["On Almost b-Metric Spaces and Related Fixed Point Results"],"prefix":"10.3390","volume":"8","author":[{"given":"Nabil","family":"Mlaiki","sequence":"first","affiliation":[{"name":"Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia"}]},{"given":"Katarina","family":"Kuki\u0107","sequence":"additional","affiliation":[{"name":"Faculty for Traffic and Transport Engineering, University of Belgrade, 11000 Belgrade, Serbia"}]},{"given":"Milanka","family":"Garda\u0161evi\u0107-Filipovi\u0107","sequence":"additional","affiliation":[{"name":"School of Computing, Union University, 11000 Belgrade, Serbia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4606-7211","authenticated-orcid":false,"given":"Hassen","family":"Aydi","sequence":"additional","affiliation":[{"name":"Institut Sup\u00e9rieur d\u2019Informatique et des Techniques de Communication, Universit\u00e9 de Sousse, H. Sousse 4000, Tunisia"},{"name":"China Medical University Hospital, China Medical University, Taichung 40402, Taiwan"}]}],"member":"1968","published-online":{"date-parts":[[2019,6,1]]},"reference":[{"key":"ref_1","unstructured":"Filipovi\u0107, M.G., and Kuki\u0107, K. (2019). 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Appl."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"88","DOI":"10.1186\/1687-1812-2012-88","article-title":"A fixed point theorem for set-valued quasi-contractions in b-metric spaces","volume":"2012","author":"Aydi","year":"2012","journal-title":"Fixed Point Theory Appl."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Faraji, H., Savi\u0107, D., and Radenovi\u0107, S. (2019). Fixed point theorems for Geraghty contraction type mappings in b-metric spaces and applications. Axioms, 8.","DOI":"10.3390\/axioms8010034"},{"key":"ref_14","first-page":"3264620","article-title":"(\u03b1,\u03c8)-Meir-Keeler contraction mappings in generalized b-metric spaces","volume":"2018","author":"Czerwik","year":"2018","journal-title":"J. Funct. Spaces"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Hussain, A., Kanwal, T., Adeel, M., and Radenovi\u0107, S. (2018). 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