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Our strategy involves the use of a combination of two distinct kinds of mappings: one belongs to a weaker class of strictly increasing mappings, and the other is a class of dominated mappings. In order to demonstrate the validity of our new findings, we provide instances that are both illustrative and substantial. Finally, in order to illustrate the novelty of our findings, we provide applications that allow us to derive the common solution to integral and fractional differential equations. Our findings have a significant impact on the interpretation of a large number of previously published studies, both present and historical.\n                  <\/jats:p>","DOI":"10.3233\/jifs-238250","type":"journal-article","created":{"date-parts":[[2024,4,2]],"date-time":"2024-04-02T13:59:41Z","timestamp":1712066381000},"page":"325-339","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["Fuzzy dominated nonlinear operators with applications"],"prefix":"10.1177","volume":"49","author":[{"given":"Tahair","family":"Rasham","sequence":"first","affiliation":[{"name":"University of Poonch Rawalakot","place":["Pakistan"]}]},{"given":"Marwan Amin","family":"Kutbi","sequence":"additional","affiliation":[{"name":"King Abdul-Aziz University Jaddeah","place":["Saudi Arabia"]}]},{"given":"Aftab","family":"Hussain","sequence":"additional","affiliation":[{"name":"King Abdul-Aziz University Jaddeah","place":["Saudi Arabia"]}]},{"given":"Sumit","family":"Chandok","sequence":"additional","affiliation":[{"name":"Thapar Institute of Engineering & Technology","place":["India"]}]}],"member":"179","published-online":{"date-parts":[[2024,3,20]]},"reference":[{"key":"e_1_3_1_2_1","first-page":"1469","article-title":"Generalized multivalued F-contractions on complete metric spaces","volume":"40","author":"Acar \u00d6.","year":"2014","unstructured":"Acar\u00d6.DurmazG.MinakG.Generalized multivalued F-contractions on complete metric spaces, Bull Iranian Math Society40 (2014), 1469\u20131478.","journal-title":"Bull Iranian Math Society"},{"key":"e_1_3_1_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/s13398-020-00877-5"},{"key":"e_1_3_1_4_1","doi-asserted-by":"publisher","DOI":"10.3390\/math7080694"},{"issue":"3","key":"e_1_3_1_5_1","first-page":"15","article-title":"Fixed point in b-multiplicative metric spaces","volume":"79","author":"Ali U.","year":"2017","unstructured":"AliU.KamranT.KurdiA.Fixed point in b-multiplicative metric spaces, UPB Sci Bull, Ser A79(3) (2017), 15\u201320.","journal-title":"UPB Sci Bull, Ser A"},{"key":"e_1_3_1_6_1","doi-asserted-by":"crossref","unstructured":"AlsulamiH.H.KarapinarE.PiriH. 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