ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS WITH RESPECT TO THE BREGMAN DISTANCE IN THE INTERMEDIATE SENSE

作者：Tomizawa Yukino^*

来源：Fixed Point Theory, 2017, 18(1): 391-405.

DOI：10.24193/fpt-ro.2017.1.31

• Bregman distance
• Bregman projection
• asymptotically quasi-nonexpansive in the intermediate sense
• fixed point
• Legendre function
• totally convex function

The purpose of this paper is to introduce a new class of nonlinear mappings which is an extension of asymptotically quasi-nonexpansive mappings with respect to the Bregman distance 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.

• 出版日期2017