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Common Fixed Point Theorems for Totally Quasi-G-Asymptotically Nonexpansive Semigroups with the Generalized f-Projection

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DOI: 10.4236/am.2014.51004    7,115 Downloads   8,765 Views  

ABSTRACT

In this paper, we introduce some new classes of the totally quasi-G-asymptotically nonexpansive mappings and the totally quasi-G-asymptotically nonexpansive semigroups. Then, with the generalized f-projection operator, we prove some strong convergence theorems of a new modified Halpern type hybrid iterative algorithm for the totally quasi-G-asymptotically nonexpansive semigroups in Banach space. The results presented in this paper extend and improve some corresponding ones by many others.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

C. Wang and Y. Wang, "Common Fixed Point Theorems for Totally Quasi-G-Asymptotically Nonexpansive Semigroups with the Generalized f-Projection," Applied Mathematics, Vol. 5 No. 1, 2014, pp. 25-34. doi: 10.4236/am.2014.51004.

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