Hybrid iterative methods for two asymptotically nonexpansive semigroups in Hilbert spaces

Volume 12, Issue 10, pp 621--633 http://dx.doi.org/10.22436/jnsa.012.10.01 Publication Date: May 30, 2019       Article History

Authors

Issara Inchan - Department of Mathematics, Uttaradit Rajabhat University, Uttaradit, Thailand.


Abstract

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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