{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T03:03:06Z","timestamp":1760151786642,"version":"build-2065373602"},"reference-count":16,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2022,4,20]],"date-time":"2022-04-20T00:00:00Z","timestamp":1650412800000},"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>We introduce a new pair of mappings (S,T) on D*-metric spaces called DS*-W.C. and DRS*-W.C. Many examples are presented to show the difference between these mappings and other types of mappings in the literature. Moreover, we obtain several common fixed point results by using these types of mappings and the (E.A) property. We then employ the fixed point results to establish the existence and uniqueness of a solution for a class of nonlinear integral equations.<\/jats:p>","DOI":"10.3390\/axioms11050189","type":"journal-article","created":{"date-parts":[[2022,4,21]],"date-time":"2022-04-21T01:55:51Z","timestamp":1650506151000},"page":"189","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Solving Integral Equations Using Weakly Compatible Mappings via D*-Metric Spaces"],"prefix":"10.3390","volume":"11","author":[{"given":"Roqia","family":"Butush","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Jordan, Amman P.O. Box 11941, Jordan"}]},{"given":"Zead","family":"Mustafa","sequence":"additional","affiliation":[{"name":"Mathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, Doha P.O. Box 2713, Qatar"}]},{"given":"M. M. M.","family":"Jaradat","sequence":"additional","affiliation":[{"name":"Mathematics Program, Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University, Doha P.O. Box 2713, Qatar"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Agarwal, R.P., Karap\u0131nar, E., O\u2019Regan, D., and Rold\u00e1n-L\u00f3pez-de-Hierro, A.F. (2015). Fixed Point Theory in Metric Type Spaces, Springer International Publishing.","DOI":"10.1007\/978-3-319-24082-4"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Debnath, P., Konwar, N., and Radenovi\u0107, S. (2021). Metric Fixed Point Theory: Applications in Science, Engineering and Behavioural Sciences, Springer Nature.","DOI":"10.1007\/978-981-16-4896-0"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"793486","DOI":"10.1155\/2012\/793486","article-title":"Generalized \u03b1-\u03c8 Contractive Type Mappings and Related Fixed Point Theorems with Applications","volume":"2012","author":"Samet","year":"2012","journal-title":"Abstr. Appl. Anal."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"248937","DOI":"10.1155\/2012\/248937","article-title":"Some New Common Fixed Point Theorems Under Strict Contractive Conditions in G-Metric Spaces","volume":"2012","author":"Mustafa","year":"2012","journal-title":"J. Appl. Math."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1944","DOI":"10.1016\/j.camwa.2012.03.051","article-title":"On common fixed points in G-metric spaces using (E.A) property","volume":"64","author":"Mustafa","year":"2012","journal-title":"Comput. Math. Appl."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Todor\u010devi\u0107, V. (2019). Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics, Springer Nature Switzerland AG.","DOI":"10.1007\/978-3-030-22591-9"},{"key":"ref_7","first-page":"273","article-title":"Acommon fixed point theorem and some fixed point thoerms in D*-metric spaces","volume":"4","author":"Veerapandi","year":"2006","journal-title":"Afr. J. Math. Comput. Sci. Res."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"27906","DOI":"10.1155\/2007\/27906","article-title":"A common fixed point theorem in D*-metric spaces","volume":"2007","author":"Sedghi","year":"2007","journal-title":"Fixed Point Theory Appl."},{"key":"ref_9","first-page":"89","article-title":"Common Fixed Point Theorems for two mappings in D*-Metric Spaces","volume":"2","author":"Sedghi","year":"2012","journal-title":"Math. Aeterna"},{"key":"ref_10","first-page":"262","article-title":"Common fixed point results for noncomuting mappings without continuity in generalized metric spaces","volume":"215","author":"Abbas","year":"2009","journal-title":"Appl. Math. Comput."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1016\/S0022-247X(02)00059-8","article-title":"Some new common fixed point theorems under strict contractive conditions","volume":"270","author":"Aamri","year":"2002","journal-title":"J. Math. Anal. Appl."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1186\/1687-1812-2012-210","article-title":"Remarks on G-metric spaces and fixed point theorems","volume":"2012","author":"Jleli","year":"2012","journal-title":"Fixed Point Theory Appl."},{"key":"ref_13","first-page":"917158","article-title":"Remarks on G-Metric Spaces","volume":"2013","author":"Samet","year":"2013","journal-title":"Int. J. Anal."},{"key":"ref_14","first-page":"258","article-title":"Ageneralization of fixed point in S-metric spaces","volume":"64","author":"Sedghi","year":"2012","journal-title":"Math. Behnk (Russ. J.)"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"128","DOI":"10.22436\/jmcs.022.02.04","article-title":"Some Remarks Concerning D*-Metric Spaces","volume":"22","author":"Mustafa","year":"2021","journal-title":"J. Math. Comput. Sci."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1090\/S0002-9939-1977-0436113-5","article-title":"Fixed point Theorems for mappings with contractive iterate at a point","volume":"62","author":"Matkowski","year":"1977","journal-title":"Proc. Am. Math. Soc."}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/11\/5\/189\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:57:24Z","timestamp":1760137044000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/11\/5\/189"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,20]]},"references-count":16,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2022,5]]}},"alternative-id":["axioms11050189"],"URL":"https:\/\/doi.org\/10.3390\/axioms11050189","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2022,4,20]]}}}