{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:54:50Z","timestamp":1753883690251,"version":"3.41.2"},"reference-count":14,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,11,28]],"date-time":"2011-11-28T00:00:00Z","timestamp":1322438400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100002383","name":"King Saud University","doi-asserted-by":"publisher","award":["KSU.VPP.108"],"award-info":[{"award-number":["KSU.VPP.108"]}],"id":[{"id":"10.13039\/501100002383","id-type":"DOI","asserted-by":"publisher"}]}],"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>It is well known that the variational inequalities are equivalent to the fixed point problem. We use this alternative equivalent formulation to suggest and analyze some new proximal point methods for solving the variational inequalities. These new methods include the explicit, the implicit, and the extragradient methods as special cases. The convergence analysis of the new methods is considered under some suitable conditions. Results proved in this paper may stimulate further research in this direction.<\/jats:p>","DOI":"10.1155\/2012\/412413","type":"journal-article","created":{"date-parts":[[2011,11,28]],"date-time":"2011-11-28T21:20:42Z","timestamp":1322515242000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["On New Proximal Point Methods for Solving the Variational Inequalities"],"prefix":"10.1155","volume":"2012","author":[{"given":"Muhammad Aslam","family":"Noor","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Khalida Inayat","family":"Noor","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eisa","family":"Al-Said","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,11,28]]},"reference":[{"key":"e_1_2_6_1_2","first-page":"4413","article-title":"Formes bilineaires coercitives sur les ensembles convexes","volume":"258","author":"Stampacchia G.","year":"1964","journal-title":"Comptes Rendus de L\u2032Acad\u00e9mie des Sciences"},{"key":"e_1_2_6_2_2","first-page":"747","article-title":"An extragradient method for finding saddle points and for other problems","volume":"12","author":"Korpelevich G. 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