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Convergence analysis, based on this new model, is simpler and compact than that of the celebrated technique of Rockafellar in which the Lipschitz continuity at 0 of the inverse of the set\u2010valued mapping is applied. Furthermore, it can be used to generalize the Yosida approximation, which, in turn, can be applied to first\u2010order evolution equations as well as evolution inclusions.<\/jats:p>","DOI":"10.1155\/2009\/691952","type":"journal-article","created":{"date-parts":[[2009,11,22]],"date-time":"2009-11-22T15:30:33Z","timestamp":1258903833000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Relatively Inexact Proximal Point Algorithm and Linear Convergence Analysis"],"prefix":"10.1155","volume":"2009","author":[{"given":"Ram U.","family":"Verma","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2009,11,22]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1137\/0314056"},{"key":"e_1_2_5_2_2","unstructured":"AgarwalR. P.andVermaR. U. 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