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

Yukino Tomizawa · Fixed Point Theory and Applications · 2014

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. MSC:47H09, 47J25.

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