{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T12:08:51Z","timestamp":1759838931752},"reference-count":0,"publisher":"Wiley","issue":"22","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>We introduce a class of <jats:italic>\u03b7<\/jats:italic>\u2010accretive mappings in a real Banach space and show that the <jats:italic>\u03b7<\/jats:italic>\u2010proximal point mapping for <jats:italic>\u03b7<\/jats:italic>\u2010<jats:italic>m<\/jats:italic>\u2010accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational\u2010like inclusions involving <jats:italic>\u03b7<\/jats:italic>\u2010accretive mappings in real Banach space, and discuss its convergence criteria. The class of <jats:italic>\u03b7<\/jats:italic>\u2010accretive mappings includes several important classes of operators that have been studied by various authors.<\/jats:p>","DOI":"10.1155\/s0161171204209395","type":"journal-article","created":{"date-parts":[[2004,5,24]],"date-time":"2004-05-24T18:52:40Z","timestamp":1085424760000},"page":"1159-1168","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":26,"title":["Iterative approximation of a solution of a general variational\u2010like inclusion in Banach spaces"],"prefix":"10.1155","volume":"2004","author":[{"given":"C. E.","family":"Chidume","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"K. R.","family":"Kazmi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H.","family":"Zegeye","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2004,5,24]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/563278.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204209395","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T20:38:34Z","timestamp":1723063114000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204209395"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"22","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204209395"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204209395","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2002-09-29","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-05-24","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}