{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,5]],"date-time":"2026-03-05T06:04:17Z","timestamp":1772690657040,"version":"3.50.1"},"reference-count":30,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2023,10,29]],"date-time":"2023-10-29T00:00:00Z","timestamp":1698537600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Scientific Research at Imam Mohammad Ibn Saud Islamic University (IMSIU)","award":["IMSIU-RP23070"],"award-info":[{"award-number":["IMSIU-RP23070"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper is dedicated to the advancement of fixed-point results for multi-valued asymptotically non-expansive maps regarding convergence criteria in complete uniformly convex hyperbolic metric spaces that are endowed with a graph. The famous fixed-point theorems of Goebel and Kirk, Khamsi and Khan, along with other recent results in the literature can be obtained as corollaries of these main results. A nice graph and an interesting example are also provided in support of the hypothesis of the main results.<\/jats:p>","DOI":"10.3390\/axioms12111020","type":"journal-article","created":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T12:07:45Z","timestamp":1698667665000},"page":"1020","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Fixed-Point Convergence of Multi-Valued Non-Expansive Mappings with Applications"],"prefix":"10.3390","volume":"12","author":[{"given":"Akbar","family":"Azam","sequence":"first","affiliation":[{"name":"Department of Mathematics, Grand Asian University, Sialkot 7KM, Pasrur Road, Sialkot 51310, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2961-1609","authenticated-orcid":false,"given":"Maliha","family":"Rashid","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan"}]},{"given":"Amna","family":"Kalsoom","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan"}]},{"given":"Faryad","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11623, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2023,10,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1090\/S0002-9939-1964-0165498-3","article-title":"On nonexpansive mappings","volume":"15","author":"Edelstein","year":"1964","journal-title":"Proc. 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