{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T09:41:21Z","timestamp":1775554881673,"version":"3.50.1"},"reference-count":28,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2022,11,28]],"date-time":"2022-11-28T00:00:00Z","timestamp":1669593600000},"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>The major aim of this article is to show how to estimate direct errors using the J iteration method. Direct error estimation of iteration processes is being investigated in different journals. We also illustrate that an error in the J iteration process can be controlled. Furthermore, we express J iteration convergence by using distinct initial values.<\/jats:p>","DOI":"10.3390\/axioms11120677","type":"journal-article","created":{"date-parts":[[2022,11,28]],"date-time":"2022-11-28T06:04:36Z","timestamp":1669615476000},"page":"677","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["New Estimation Method of an Error for J Iteration"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7742-5993","authenticated-orcid":false,"given":"Aftab","family":"Hussain","sequence":"first","affiliation":[{"name":"Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"}]},{"given":"Danish","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Facutly of Natural Science, Khawaja Fareed University of Engineering and Technology, Rahim Yar Khan 64100, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6585-2202","authenticated-orcid":false,"given":"Nawab","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2022,11,28]]},"reference":[{"key":"ref_1","first-page":"223","article-title":"A new faster iteration process applied to constrained minimization and feasibility problems","volume":"66","author":"Abbas","year":"2014","journal-title":"Mat. 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