STRONG CONVERGENCE THEOREM OF FIXED POINT FOR RELATIVELY ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

In this paper, we prove strong convergence theorems of Halpern iteration for relatively asymptotically nonexpansive map- pings in the framework of Banach spaces. Our results extend and improve the recent ones announced by [C. Martinez-Yanes, H. K. Xu, Strong convergence of the CQ method for ¯xed point iteration processes, Nonlinear Anal. 64 (2006), 2400{2411], [X. Qin, Y. Su, Strong convergence theorem for relatively nonexpansive mappings in a Banach space, Nonlinear Anal. 67 (2007), 1958{1965] and many others.

1. Introduction and preliminaries

2. Main results

References

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