{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,17]],"date-time":"2025-12-17T18:03:14Z","timestamp":1765994594516,"version":"build-2065373602"},"reference-count":18,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2019,3,3]],"date-time":"2019-03-03T00:00:00Z","timestamp":1551571200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Inspired by Suzuki\u2019s generalization for nonexpansive mappings, we define the     ( C )    -property on modular spaces, and provide conditions concerning the fixed points of newly introduced class of mappings in this new framework. In addition, Kirk\u2019s Lemma is extended to modular spaces. The main outcomes extend the classical results on Banach spaces. The major contribution consists of providing inspired arguments to compensate the absence of subadditivity in the case of modulars. The results herein are supported by illustrative examples.<\/jats:p>","DOI":"10.3390\/sym11030319","type":"journal-article","created":{"date-parts":[[2019,3,4]],"date-time":"2019-03-04T05:45:36Z","timestamp":1551678336000},"page":"319","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["On Suzuki Mappings in Modular Spaces"],"prefix":"10.3390","volume":"11","author":[{"given":"Andreea","family":"Bejenaru","sequence":"first","affiliation":[{"name":"Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0738-787X","authenticated-orcid":false,"given":"Mihai","family":"Postolache","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania"},{"name":"Center for General Education, China Medical University, Taichung 40402, Taiwan"},{"name":"Romanian Academy, Gh. Mihoc\u2014C. Iacob Institute of Mathematical Statistics and Applied Mathematics, 050711 Bucharest, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2019,3,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"200","DOI":"10.4064\/sm-3-1-200-211","article-title":"Uber konjugierte exponentenfolgen","volume":"3","author":"Orlicz","year":"1931","journal-title":"Studia Math."},{"key":"ref_2","unstructured":"Nakano, H. (1950). Modulared Semi-Ordered Linear Spaces, Maruzen Co. Ltd."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"591","DOI":"10.4064\/sm-18-1-49-65","article-title":"On modular spaces","volume":"18","author":"Musielak","year":"1959","journal-title":"Studia Math."},{"key":"ref_4","unstructured":"Kozlowski, W.M. (1988). Modular Function Spaces. 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