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 http://dx.doi.org/10.22436/jnsa.012.06.02

Publication Date: January 21, 2019 Submission Date: August 28, 2017 Revision Date: November 12, 2017 Accteptance Date: December 14, 2017

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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.

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Keywords

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

MSC

•  47H09
•  47H10

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