%0 Journal Article
%T A generalization of the regularization proximal point method
%A Oganeditse A. Boikanyo
%A Gheorghe Moro£żanu
%J Journal of Nonlinear Analysis and Application
%D 2012
%I International Scientific Publications and Consulting Services (ISPACS)
%R 10.5899/2012/jnaa-00129
%X 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 unify many 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.
%K Maximal monotone operator
%K nonexpansive map
%K proximal point algorithm
%K prox-Tikhonov method
%K regularization method
%K resolvent operato
%U http://www.ispacs.com/journals/jnaa/2012/jnaa-00129/article.pdf