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Date Published: 14/04/2022
Online Published: 14/04/2022
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DOI: https://doi.org/10.52714/dthu.11.2.2022.934
Issue
Vol. 11 No. 2 (2022): Natural Sciences Issue (Vietnamese)
Section
Natural Sciences Issue (Vietnamese)
How to Cite
Tran, T. T., & Nguyen, T. H. (2022). Convergence of an iteration to common fixed points of two Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces. Dong Thap University Journal of Science, 11(2), 19-32. https://doi.org/10.52714/dthu.11.2.2022.934

Convergence of an iteration to common fixed points of two Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces

Tan Tien Tran1, Trung Hieu Nguyen2,
1 Student, Department of Mathematics and Information Technology Teacher Education, Dong Thap University, Vietnam
2 Department of Mathematics and Information Technology Teacher Education, Dong Thap University, Vietnam

Main Article Content

Abstract

In this paper, we introduce a hybrid iteration method and prove the convergence of this iteration process to common fixed points of two Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces. From this result, we gain some convergence results by such iterations for Bregman quasi-asymptotically nonexpansive mappings, totally quasi- -asymptotically nonexpansive mappings and quasi- -asymptotically nonexpansive mappings. In addition, we provide an example to illustrate the convergence of the proposed iteration.

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Keywords

Bregman totally quasi-asymptotically nonexpansive mapping, Bregman distance, reflexive Banach space

References

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