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[1] F. E. Browder and W. V. Petryshyn, Construction of fixed points of nonlinear mappings in Hilbert spaces, J. Math. Anal. Appl. 20 (1967), 197-228.
[2] C. E. Chidume and C. Moore, Fixed point iteration for pseudocontractive maps, Proc. Amer. Math. Soc. 127(4) (1999), 1163-1170.
[3] C. E. Chidume and S. A. Mutangadura, An example on the Mann iteration method for Liptschitz pseudocontractions, Proc. Amer. Math. Soc. 129(8) (2001), 2359-2363.
[4] C. E. Chidume and M. O. Osilike, Nonlinear accretive and pseudocontractive operator equations in Banach spaces, Nonlinear Anal. 31(7) (1998), 779-789.
[5] T. L. Hicks and J. D. Kubicek, On the Mann iteration process in a Hilbert space, J. Math. Anal. Appl. 59 (1977), 498-504.
[6] D. I. Igbokwe, Construction of fixed points of strictly pseudocontractive mappings of Browder-Petryshyn type in arbitrary Banach spaces, Fixed Point Theory Appl., Vol. 4, Y. J. Cho et al., eds., Nova Science Publishers, Inc., New York, 2003, pp. 137-147.
[7] I. S. Ishikawa, Fixed points by new iteration method, Proc. Amer. Math. Soc. 149 (1974), 147-150.
[8] T. Kato, Nonlinear semigroups and evolution equations, J. Math. Soc. Japan 19 (1967), 508-520.
[9] L. S. Liu, Ishikawa and Mann iteration process with errors for nonlinear strongly accretive mappings in Banach spaces, J. Math. Anal. Appl. 194 (1995), 114-125.
[10] Z. Liu, J. K. Kim and S. M. Kang, Necessary and sufficient conditions for convergence of Ishikawa iterative schemes with errors to f-Hemicontractive mappings, Commun. Korean Math. Soc. 18(2) (2003), 251-261.
[11] W. R. Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4 (1953), 506-510.
[12] C. Moore and B. V. C. Nnoli, Local iterations for fixed points of uniformly hemicontractive maps in arbitrary normed linear spaces, Soochow J. Math 27(1) (2001), 59-72.
[13] M. O. Osilike, Iteration solution of nonlinear equations of the f-strongly accretive type, J. Math. Anal. Appl. 200(20) (1996), 259-271.
[14] M. O. Osilike, Ishikawa and Mann iteration methods with errors for nonlinear equations of the accretive type, J. Math. Anal. Appl. 213(1) (1997), 91-105.
[15] M. O. Osilike and D. I. Igbokwe, Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations, Comput. Math. Appl. 40 (2000), 559-567.
[16] L. Qihou, On Niampally and Singh’s open questions, J. Math. Anal. Appl. 124 (1987), 157-164.
[17] L. Qhiou, The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings, J. Math. Anal. Appl. 148 (1990), 55-62.
[18] B. E. Rhoades, Comments on two fixed point iteration methods, J. Math. Anal. Appl. 183 (1994), 118-120.
[19] B. E. Rhoades and S. M. Soltuz, On the equivalence of Mann and Ishikawa iteration methods, Internat. J. Math. Sci. 33 (2003), 451-459.
[20] B. E. Rhoades and S. M. Soltuz, The equivalence between the convergence of Ishikawa and Mann iterations for an asymptotically pseudocontractive map, J. Math. Anal. Appl. 283 (2003), 681-688.
[21] K. K. Tan and H. K. Xu, Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl. 178 (1993), 301-308.
[22] Y. Xu, Ishikawa and Mann iterative processes with errors for nonlinear strongly accretive operator equations, J. Math. Anal. Appl. 224 (1998), 91-101. |