An Iterative Algorithm Combining the Viscosity Method with the Parallel Method for a Finite Family of Uniformly L-Lipschitzian Mappings  ABSTRACT  |  FULL TEXT 

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References

1. Chang, S. S. Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 129, 845–853, 2001.
2. Chang, S. S. On Chidume’s open questions and approximation solutions of multi-valued strongly accretive mapping equation in Banach spaces, J. Math. Anal. Appl. 216, 94–111, 1997.
3. Gobel, K and Kirk, W. A. A fixed points theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35, 171–174, 1972.
4. Moore, C. and Nnoli, B. V. Iterative solution of nonlinear equations involving set-valued uniformly accretive operators, Computers Math. Applic. 42, 131–140, 2001.
5. Ofoedu, E. U. Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseu- docontractive mapping in a real Banach space, J. Math. Anal. Appl. 321, 722–728, 2006.
6. Schu, J. Iterative construction of fixed point of asymptotically nonexpansive mappings, J. Math. Anal. Appl. 158, 407–413, 1991.
7. Tan, K. K. and Xu, H. K. Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl. 178,301–308, 1993.
8. Zeng, L. C. On the iterative approximation for asymptotically pseudo-contractive mappings in uniformly smooth Banach spaces(in Chinese), Chinese Math. Ann. 26A:2, 283–290, 2005.

9. Zeng, L. C. On the approximation of fixed points for asymptotically nonexpansive mappings in Banach spaces(in Chinese), Acta Math. Sci. 23A:1, 31–37, 2003.