Parallel iterative methods for solving systems of generalized mixed equilibrium problems in reflexive Banach spaces

Abstract

The purpose of this paper is to introduce three parallel iterative methods which use techniques of Bregman distances, Bregman projections, Bregman strongly nonexpansive operators and hybrid or shrinking projection methods to solve systems of generalized mixed equilibrium problems in a real reflexive Banach space.

Keywords:

• Bregman distance
• Bregman firmly nonexpansive operator
• Bregman strongly nonexpansive operator
• Bregman projection

Acknowledgements

The author thanks the referee for his valuable comments and suggestions, which improved the presentation of this manuscript.

Notes

No potential conflict of interest was reported by the author.