{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:52:45Z","timestamp":1760241165500,"version":"build-2065373602"},"reference-count":8,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,12,19]],"date-time":"2019-12-19T00:00:00Z","timestamp":1576713600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003086","name":"Basque Government","doi-asserted-by":"publisher","award":["IT1207-19"],"award-info":[{"award-number":["IT1207-19"]}],"id":[{"id":"10.13039\/501100003086","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, using the conditions of Taleb-Hanebaly\u2019s theorem in a modular space where the modular is s-convex and symmetric with respect to the ordinate axis, we prove a new generalized modular version of the Schauder and Petryshyn fixed point theorems for nonexpansive mappings in s-convex sets. Our results can be applied to a nonlinear integral equation in Musielak-Orlicz space     L p     where     0 &lt; p \u2264 1     and     0 &lt; s \u2264 p    .<\/jats:p>","DOI":"10.3390\/sym12010015","type":"journal-article","created":{"date-parts":[[2019,12,23]],"date-time":"2019-12-23T03:23:12Z","timestamp":1577071392000},"page":"15","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A New Version of Schauder and Petryshyn Type Fixed Point Theorems in S-Modular Function Spaces"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5593-1924","authenticated-orcid":false,"given":"Maryam","family":"Ramezani","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Bojnord, 94531 Bojnord, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5601-6480","authenticated-orcid":false,"given":"Hamid","family":"Baghani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Sistan and Baluchestan, Zahedan P.O. box 98155-987, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3877-2714","authenticated-orcid":false,"given":"Ozgur","family":"Ege","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Ege University, Bornova, 35100 Izmir, Turkey"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9320-9433","authenticated-orcid":false,"given":"Manuel","family":"De la Sen","sequence":"additional","affiliation":[{"name":"Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Bizkaia, Spain"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,19]]},"reference":[{"key":"ref_1","unstructured":"Nakano, H. (1950). Modulared Semi-Ordered Linear Spaces, Maruzen Co. Ltd."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"49","DOI":"10.4064\/sm-18-1-49-65","article-title":"On modular spaces","volume":"18","author":"Musielak","year":"1959","journal-title":"Stud. Math."},{"key":"ref_3","unstructured":"Krasnoselskii, M.A., and Rutickii, Y.B. (1961). Convex Functions and Orlicz Spaces, Noordhoff Ltd."},{"key":"ref_4","unstructured":"Kozlowski, W.M. (1988). Modular Function Spaces, Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Khamsi, M.A., and Kozlowski, W.M. (2015). Fixed Point Theory in Modular Function Spaces, Springer.","DOI":"10.1007\/978-3-319-14051-3"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"935","DOI":"10.1016\/0362-546X(90)90111-S","article-title":"Fixed point theory in modular function spaces","volume":"14","author":"Khamsi","year":"1990","journal-title":"Nonlinear Anal."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1090\/S0002-9939-99-05546-X","article-title":"A fixed point theorem and its application to integral equations in modular function spaces","volume":"128","author":"Taleb","year":"1999","journal-title":"Proc. Am. Math. Soc."},{"key":"ref_8","unstructured":"Ding, G.G. (2007). New Theory in Functional Analysis, Academic Press."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/1\/15\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:43:41Z","timestamp":1760190221000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/1\/15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,12,19]]},"references-count":8,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2020,1]]}},"alternative-id":["sym12010015"],"URL":"https:\/\/doi.org\/10.3390\/sym12010015","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2019,12,19]]}}}