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

Year 2011, Volume: 40 Issue: 3, 453 - 460, 01.03.2011

Feng Gu

https://izlik.org/JA56ZZ73JN

Keywords

-

References

• Chang, S. S. Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 129, 845–853, 2001.
• 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.
• Gobel, K and Kirk, W. A. A fixed points theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35, 171–174, 1972.
• Moore, C. and Nnoli, B. V. Iterative solution of nonlinear equations involving set-valued uniformly accretive operators, Computers Math. Applic. 42, 131–140, 2001.
• 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.
• Schu, J. Iterative construction of fixed point of asymptotically nonexpansive mappings, J. Math. Anal. Appl. 158, 407–413, 1991.
• 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.
• 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.
• 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.