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

被引：2

作者：

Tomizawa, Yukino ^{[1
]}

机构：

[1] Chuo Univ, Fac Sci & Engn, Dept Math, Bunkyo Ku, 1-13-27 Kasuga, Tokyo 1128551, Japan

来源：

FIXED POINT THEORY | 2017年 / 18卷 / 01期

关键词：

Bregman distance; Bregman projection; asymptotically quasi-nonexpansive in the intermediate sense; fixed point; Legendre function; totally convex function; STRONG-CONVERGENCE THEOREMS; FIXED-POINTS; TOTAL CONVEXITY; PROJECTIONS; WEAK; OPERATORS; SETS;

D O I：

10.24193/fpt-ro.2017.1.31

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：391 / 405

页数：15

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