Approximative Method of Fixed Point for Φ-Pseudocontractive Operator and an Application to Equation with Accretive Operator

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References

[1] C. E. Chidume, “Approximation of Fixed Points of Strongly Pseudo-Contractive Mappings,” Proceedings of the American Mathematical Society, Vol. 120, 1994, pp. 545-551. http://dx.doi.org/10.1090/S0002-9939-1994-1165050-6

[2] S. S. Chang, Y. J. Cho and B. S. Lee, “Iterative Approximations of Fixed Points and Solutions for Strongly Accretive and Strongly Pseudo-Contractive Mappings in Banach Spaces,” Journal of Mathematical Analysis and Applications, Vol. 224, 1998, pp. 149-165. http://dx.doi.org/10.1006/jmaa.1998.5993

[3] Z. Q. Liu, M. Bounias and S. M. Kang, “Iterative Approximations of Solutions to Nonlinear Equations of -Strongly Accretive in Banach Spaces,” Rocky Mountain Journal of Mathematics, Vol. 32, 2002, pp. 981-997.

[4] E. Asplund, “Positivity of Duality Mappings,” American Mathematical Society, Vol. 73, 1967, pp. 200-203.
http://dx.doi.org/10.1090/S0002-9904-1967-11678-1

[5] Y. G. Xu, “Ishikawa and Mann Iterative Processes with Errors for Nonlinear Strongly Accretive Operator Equations,” Journal of Mathematical Analysis and Applications, Vol. 224, 1998, pp. 91-101. http://dx.doi.org/10.1006/jmaa.1998.5987

[6] W. R. Mann, “Mean Value Methods in Iteration,” Proceedings of the American Mathematical Society, Vol. 4, 1953, pp. 506- 510. http://dx.doi.org/10.1090/S0002-9939-1953-0054846-3

[7] K. Deimling, “Nonlinear Functional Analysis,” Springer-Verlag, Berlin, 1985. http://dx.doi.org/10.1007/978-3-662-00547-7