BREGMAN DISTANCE AND RELATED RESULTS ON BANACH SPACES

被引：0

作者：

Chuang, Chih-Sheng ^{[1
]}

Lin, Lai-Jiu ^{[2
]}

机构：

[1] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

[2] Natl Changhua Univ Educ, Dept Math, Changhua 50058, Taiwan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2014年 / 15卷 / 05期

关键词：

Optimization; fixed point; Bregman distance; Gateaux differentiable; FIXED-POINT THEOREMS; EKELANDS VARIATIONAL PRINCIPLE; STRONG-CONVERGENCE; NONEXPANSIVE OPERATORS; EQUILIBRIUM PROBLEMS; ITERATIVE METHODS; ERGODIC-THEOREMS; MAPPINGS; EXISTENCE; ALGORITHM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first study existence theorems of solution for optimization problems which is related to Bregman distance. From these results, we study fixed point problems for nonlinear mappings, contractive type mappings, Caritsti type mappings, graph contractive type mappings with the Bregman distance on Banach spaces. We also study some properties of Bregman projection. Our results on the properties of Bregman projection improve recent results of Honda and Takahashi. We combine the techniques of optimization theory and fixed point theory to study these problems in this paper. Our results are different from many existence theorems for optimization problem and fixed point theorems of nonlinear mappings, contractive type mappings, and graph contractive mappings.

引用

页码：1019 / 1041

页数：23

共 46 条

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