# Some results on a finite family of Bregman quasi-strict pseudo-contractions

Volume 10, Issue 3, pp 975--989 Publication Date: March 20, 2017       Article History
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### Authors

Zi-Ming Wang - Department of Foundation, Shandong Yingcai University, Jinan, China. Airong Wei - School of Control Science and Engineering, Shandong University, Jinan, China.

### Abstract

The aim of this article is to establish a common fixed point theorem for a finite family of Bregman quasi-strict pseudocontractions in a reflexive Banach space. Applications to equilibrium problems, variational inequality problems, and zero point problems are provided.

### Keywords

• Bregman mapping
• generalized projection
• variational inequality
• reflexivity
• hybrid method.

•  65K10
•  90C30
•  47N10

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