Hybrid iterative methods for two asymptotically nonexpansive semigroups in Hilbert spaces

Issara Inchan · The Journal of Nonlinear Sciences and Applications · 2019

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].

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