# Strong convergence theorems for mixed equilibrium problems and uniformly Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces

Volume 12, Issue 6, pp 349--362 Publication Date: January 21, 2019       Article History
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### Authors

Kittisak Jantakarn - Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand. Anchalee Kaewcharoen - Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand.

### Abstract

The purpose of this paper is to suggest a new algorithm for finding a common solution of a mixed equilibrium problem and a common fixed point of uniformly Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces. The strong convergence theorems under suitable control conditions are proven.

### Keywords

• Mixed equilibrium problems
• Bregman totally quasi-asymptotically nonexpansive mappings
• reflexive Banach spaces

•  47H09
•  47H10

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