An algorithm with general errors for the zero point of monotone mappings in Banach spaces

Yan Tang, Zhiqing Bao, Daojun Wen
2014 Journal of Inequalities and Applications  
In this paper, we introduce a proximal point iterative algorithm with general errors for monotone mappings in Banach spaces. We prove that the proposed algorithm converges strongly to a proximal point for monotone mappings. Our theorems in this paper improve and unify most of the results that have been proposed for this important class of nonlinear mappings. MSC: 47H09; 47H10; 47L25
doi:10.1186/1029-242x-2014-484 fatcat:udp4i7y75bawbmwni6zv6l4tei