Convergence theorems for Bregman strongly nonexpansive mappings in reflexive Banach spaces
Keyword(s):
In this paper, we study a strong convergence theorem for a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the framework of reflexive real Banach spaces. As a consequence, we prove convergence theorem for a common fixed point of a finite family of Bergman relatively nonexpansive mappings. Furthermore, we apply our method to prove strong convergence theorems of iterative algorithms for finding a common zero of a finite family of Bregman inverse strongly monotone mappings and a solution of a finite family of variational inequality problems.
2016 ◽
Vol 9
(4)
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pp. 421-434
2015 ◽
Vol 9
◽
pp. 437-452
Keyword(s):
2018 ◽
Vol 12
(16)
◽
pp. 739-758
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Keyword(s):
2015 ◽
Vol 2015
(1)
◽