A strong convergence theorem for Bregman asymptotically quasi-nonexpansive mappings in the intermediate sense

被引：0
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作者：
Yukino Tomizawa
机构：
[1] Chuo University,Department of Mathematics, Graduate School of Science and Engineering
[2] Kaohsiung Medical University,Center for Fundamental Science
来源：
Fixed Point Theory and Applications | / 2014卷
关键词：
asymptotically quasi-nonexpansive in the intermediate sense; Bregman distance; Bregman projection; Legendre function; totally convex function;
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摘要：
The purpose of this paper is to introduce a new class of Bregman asymptotically quasi-nonexpansive mappings in the intermediate sense. A strong convergence theorem of the shrinking projection method with the modified Mann iteration is established to find fixed points of the mappings in reflexive Banach spaces. This theorem generalizes some known results in the current literature.
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