{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:43:50Z","timestamp":1753886630144,"version":"3.41.2"},"reference-count":20,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,4,17]],"date-time":"2012-04-17T00:00:00Z","timestamp":1334620800000},"content-version":"vor","delay-in-days":107,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>We introduce and consider a proximal point algorithm for solving minimization problems using the technique of G\u00fcler. This proximal point algorithm is obtained by substituting the usual quadratic proximal term by a class of convex nonquadratic distance\u2010like functions. It can be seen as an extragradient iterative scheme. We prove the convergence rate of this new proximal point method under mild assumptions. Furthermore, it is shown that this estimate rate is better than the available ones.<\/jats:p>","DOI":"10.1155\/2012\/142862","type":"journal-article","created":{"date-parts":[[2012,4,17]],"date-time":"2012-04-17T21:00:31Z","timestamp":1334696431000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Convergence of a Proximal Point Algorithm for Solving Minimization Problems"],"prefix":"10.1155","volume":"2012","author":[{"given":"Abdelouahed","family":"Hamdi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. A.","family":"Noor","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. 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Generalized proximal point methods for the variationnal inequality problem Ph.D. thesis 1995 Instituto de Matem\u00e0tica Pura e Aplcada Rio de Janeiro Brazil."},{"key":"e_1_2_8_4_2","doi-asserted-by":"publisher","DOI":"10.1287\/moor.18.1.202"},{"key":"e_1_2_8_5_2","doi-asserted-by":"publisher","DOI":"10.1137\/S0363012995281742"},{"key":"e_1_2_8_6_2","doi-asserted-by":"publisher","DOI":"10.1287\/moor.17.3.670"},{"key":"e_1_2_8_7_2","doi-asserted-by":"publisher","DOI":"10.1515\/9781400873173"},{"key":"e_1_2_8_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/0041-5553(67)90040-7"},{"key":"e_1_2_8_9_2","doi-asserted-by":"publisher","DOI":"10.24033\/bsmf.1625"},{"key":"e_1_2_8_10_2","unstructured":"MartinetB. 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