Convergence of Multi-step Iterates with Errors for Uniformly Quasi-Lipschitzian Mappings

[1] M. K. Ghosh and L. Debnath, Convergence of Ishikawa iterates of quasi- nonexpansive mappings, J. Math. Anal. Appl., 207, (1997), 96-103.10.1006/jmaa.1997.5268Search in Google Scholar

[2] S. Ishikawa, Fixed points by a new iteration method, Proc. Amer. Math. Soc., 44, (1974), 147-150.10.1090/S0002-9939-1974-0336469-5Search in Google Scholar

[3] W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc., 4, (1953), 506-510.10.1090/S0002-9939-1953-0054846-3Search in Google Scholar

[4] W. V. Petryshyn and T. E. Williamson, Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings, J. Math. Anal. Appl., 43, (1973), 459-497.10.1016/0022-247X(73)90087-5Search in Google Scholar

[5] L. Qihou, Iterative sequences for asymptotically quasi-nonexpansive mappings, J. Math. Anal. Appl., 259, (2001), 1-7.10.1006/jmaa.2000.6980Search in Google Scholar

[6] L. Qihou, Iterative sequences for asymptotically quasi-nonexpansive mappings with error member, J. Math. Anal. Appl., 259, (2001), 18-24.10.1006/jmaa.2000.7353Search in Google Scholar

[7] J. Quan, Three-step iterative sequences with errors for uniformly quasi-Lipschitzian mappings, Numer. Math. J. Chinese Univ. (English Ser.), 15, No.4, (November 2006), 306-311.Search in Google Scholar

[8] K. K. Tan and H. K. Xu, Approximating _xed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl., 178, (1993), 301-308.10.1006/jmaa.1993.1309Search in Google Scholar

[9] B. L. Xu and M. A. Noor, Fixed point iterations for asymptotically nonexpansive mappings in Banach spaces, J. Math. Anal. Appl., 267, No.2, (2002), 444-453.10.1006/jmaa.2001.7649Search in Google Scholar