{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:43:42Z","timestamp":1760240622205,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2019,8,2]],"date-time":"2019-08-02T00:00:00Z","timestamp":1564704000000},"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>The study of asymmetric structures and their applications in mathematics is interesting. One of the types of asymmetric structures on a metric space has been initiated by Kada et al. (1996) and is known as a w-distance. That lack of symmetry attracts many researchers in fixed point theory. In this manuscript, we introduce a new type of contraction named generalized     ( \u03b1 , \u03c8 ,  M \u03a9  )    -contractive mappings via w-distances, and then we prove some new related fixed point results, generalizing and improving the recent results of Lakzian et al. (2016) and others. At the end, we give some examples. To illustrate the usability of the new theory, we apply our obtained results to resolve a nonlinear Fredholm-integral-type equation.<\/jats:p>","DOI":"10.3390\/sym11080982","type":"journal-article","created":{"date-parts":[[2019,8,2]],"date-time":"2019-08-02T11:58:16Z","timestamp":1564747096000},"page":"982","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["On Generalized (\u03b1, \u03c8, M\u03a9)-Contractions with w-Distances and an Application to Nonlinear Fredholm Integral Equations"],"prefix":"10.3390","volume":"11","author":[{"given":"Hossein","family":"Lakzian","sequence":"first","affiliation":[{"name":"Department of Mathematics, Payame Noor University, Tehran 19395-4697, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1489-0975","authenticated-orcid":false,"given":"Sedigheh","family":"Barootkoob","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box 1339 Bojnord, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7986-886X","authenticated-orcid":false,"given":"Nabil","family":"Mlaiki","sequence":"additional","affiliation":[{"name":"Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4606-7211","authenticated-orcid":false,"given":"Hassen","family":"Aydi","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Sousse, Institut Sup\u00e9rieur d\u2019Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia"},{"name":"China Medical University Hospital, China Medical University, Taichung 40402, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"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 IIDP, University of the Basque Country, Campus of Leioa, P.O. Box 48940 Leioa (Bizkaia), Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,8,2]]},"reference":[{"key":"ref_1","first-page":"381","article-title":"Nonconvex minimization theorems and fixed point theorems in complete metric spaces","volume":"44","author":"Kada","year":"1996","journal-title":"Math. 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