An algorithm for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping

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摘要

In this paper, we investigate an iterative scheme for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping. Moreover, a numerical example which shows the conclusion of our result is presented. Our results improve and generalize many known results in the current literature.

论文关键词:Bregman distance function,Bregman inverse strongly monotone mapping,Bregman relatively nonexpansive mapping,Fixed points of mappings,Strong convergence

论文评审过程:Available online 17 October 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.08.071