Strong Convergence for the Split Common Fixed-Point Problem for Total Quasi-Asymptotically Nonexpansive Mappings in Hilbert Space

In this paper, we study and modify the algorithm of Kraikaew and Saejung for the class of total quasi-asymptotically nonexpansive case so that the strong convergence is guaranteed for the solution of split common fixed-point problems in Hilbert space. Moreover, we justify our result through an examp...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2015, Vol.2015 (2015), p.1210-1216
Main Authors: Mohammed, Lawan Bulama, Kilicman, A
Format: Article
Language:English
Subjects:
Algorithms
Convergence
Convergence (Mathematics)
Fixed point theory
Hilbert space
Mapping
Mappings (Mathematics)
Mathematical research
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Summary:In this paper, we study and modify the algorithm of Kraikaew and Saejung for the class of total quasi-asymptotically nonexpansive case so that the strong convergence is guaranteed for the solution of split common fixed-point problems in Hilbert space. Moreover, we justify our result through an example. The results presented in this paper not only extend the result of Kraikaew and Saejung but also extend, improve, and generalize some existing results in the literature.
ISSN:1085-3375
1687-0409
DOI:10.1155/2015/412318