On the generalized Bregman projection operator in reflexive Banach spaces

被引：0
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作者：
G. Zamani Eskandani
S. Azarmi
M. Raeisi
机构：
[1] University of Tabriz,Department of Pure Mathematics, Faculty of Mathematical Sciences
来源：
Journal of Fixed Point Theory and Applications | 2020年 / 22卷
关键词：
Bregman distance; generalized Bregman ; -projection; Bregman relatively nonexpansive mappings; 47H05; 47H09; 47H10;
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摘要：
In this paper, we study the generalized Bregman f-projection operator in reflexive Banach spaces. After providing some properties of the generalized Bregman f-projection operator, we propose an iterative algorithm to finding a common fixed point of a finite family of Bregman relatively nonexpansive mappings in reflexive Banach spaces using the generalized Bregman f-projection operator. An application of our algorithm to finding a common zero of a finite family of maximal monotone operators will also be exhibited.
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