{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T11:56:14Z","timestamp":1773921374795,"version":"3.50.1"},"reference-count":29,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,12,18]],"date-time":"2019-12-18T00:00:00Z","timestamp":1576627200000},"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>We introduce a new class of non-self mappings by means of a condition which is called the (EP)-condition. This class includes proximal generalized nonexpansive mappings. It is shown that the existence of best proximity points for (EP)-mappings is equivalent to the existence of an approximate best proximity point sequence generated by a three-step iterative process. We also construct a CQ-type algorithm which generates a strongly convergent sequence to the best proximity point for a given (EP)-mapping.<\/jats:p>","DOI":"10.3390\/sym12010004","type":"journal-article","created":{"date-parts":[[2019,12,23]],"date-time":"2019-12-23T03:23:12Z","timestamp":1577071392000},"page":"4","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["CQ-Type Algorithm for Reckoning Best Proximity Points of EP-Operators"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9777-5237","authenticated-orcid":false,"given":"Hassan","family":"Houmani","sequence":"first","affiliation":[{"name":"Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania"},{"name":"Lebanese International University\u2014LIU, 146404 Beirut, Lebanon"}]},{"given":"Teodor","family":"Turcanu","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1004","DOI":"10.2307\/2313345","article-title":"A fixed point theorem for mappings which do not increase distances","volume":"72","author":"Kirk","year":"1965","journal-title":"Am. 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