<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Boikanyo, Oganeditse A.</style></author><author><style face="normal" font="default" size="100%">Morosanu, Gheorghe</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A generalization of the regularization proximal point method</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Nonlinear Analysis and Applications (electronic)</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2012</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.ispacs.com/journals/jnaa/2012/jnaa-00129/</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">2012</style></volume><pages><style face="normal" font="default" size="100%">6 pages</style></pages><language><style face="normal" font="default" size="100%">English</style></language><abstract><style face="normal" font="default" size="100%">This paper deals with the generalized regularization proximal point method which was introduced by the authors in [Four parameter proximal point algorithms, Nonlinear Anal. 74 (2011), 544-555]. It is shown that sequences generated by it converge strongly under minimal assumptions on the control parameters involved. Thus the main
result of this paper unifies several results related to the prox-Tikhonov method, the contraction proximal point algorithm and/or the regularization method as well as some results of the above quoted paper.
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