Geodesic
Hybrid iterative methods for two asymptotically nonexpansive semigroups in Hilbert spaces
Inchan, Issara 1
1 Department of Mathematics, Uttaradit Rajabhat University, Uttaradit, Thailand
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 10, p. 621-633.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The main objective of this work is to modify two hybrid projection algorithm. First, we prove the strongly convergence to common fixed points of a sequence $\{x_{n}\}$ generated by the hybrid projection algorithm of two asymptotically nonexpansive mappings, second, we prove the strongly convergence of a sequence $\{x_{n}\}$ generated by the hybrid projection algorithm of two asymptotically nonexpansive semigroups. Our main results extend and improve the results of Dong et al. [Q.-L. Dong, S. N. He, Y. J. Cho, Fixed Point Theory Appl., $\textbf{2015}$ (2015), 12 pages].
DOI : 10.22436/jnsa.012.10.01
Classification : 46C05, 47D03, 47H09, 47H10, 47H20
Keywords: Asymptotically nonexpansive mappings, asymptotically nonexpansive semigroup, fixed point

Inchan, Issara  1

1 Department of Mathematics, Uttaradit Rajabhat University, Uttaradit, Thailand 
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Inchan, Issara . Hybrid iterative methods for two asymptotically nonexpansive semigroups in Hilbert spaces. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 10, p. 621-633. doi : 10.22436/jnsa.012.10.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.10.01/

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