Approximation of Common Fixed Points for Families of Mappings in Banach Space
Abstract
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References
[1] N. Shahzad, H. Zegeye, “Strong convergence of an implicit iteration process for a finite family of generalized asymptotically quasi-nonexpansive maps,” Appl. Math. Comp., vol. 189, pp. 1058–1065, June 2007.
http://dx.doi.org/10.1016/j.amc.2006.11.152
[2] A. R. Khan, A-A. Domlo, and H. Fukhar-ud-din, “Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces,” J. Math. Anal. Appl., vol. 341, pp. 1–11, 2008.
http://dx.doi.org/10.1016/j.jmaa.2007.06.051
[3] S. S. Chang, H. W. J. Lee, Chi Kin Chan, and J. K. Kim, “Approximating solutions of variational inequalities for asymptotically nonexpansive mappings,” Appl. Math. Comput., vol. 212, pp. 51-59, June 2009.
http://dx.doi.org/10.1016/j.amc.2009.01.078
[4] K. Nakajo, K. Shimoji, and W. Takahashi, “On strong convergence by the hybrid method for families of mappings in Hilbert spaces,” Nonlinear Anal. TMA., vol. 71, pp. 112–119, July 2009.
http://dx.doi.org/10.1016/j.na.2008.10.034
[5] H. K. Xu, “Approximating fixed points of nonexpansive mappings by the Ishikawa iterative process,” J. Math. Anal. Appl., vol. 178, pp. 301–308, 1993.
http://dx.doi.org/10.1006/jmaa.1993.1309
[6] K. Nakajo, K. Shimoji, and W. Takahashi, “Strong convergence theorems by the hybrid method for families of mappings in Banach spaces,” Nonlinear Anal. TMA., vol. 71, pp. 812–818, August 2009.
http://dx.doi.org/10.1016/j.na.2008.10.108
[7] S. Temir, “On the convergence theorems of implicit iteration process for a finite family of I-asymptotically nonexpansive mappings,” J. Comp. Appl. Math., vol. 225 pp. 398–405, March 2009.
http://dx.doi.org/10.1016/j.cam.2008.07.049
[8] T. C. Lim, H. K. Xu, “Fixed point theorems for asymptotically nonexpansive mappings,” Nonlinear Anal. TMA., vol. 22, pp. 1345-1355, June 1994.
http://dx.doi.org/10.1016/0362-546X(94)90116-3
[9] C. E. Chidume, E. U. Ofoedub, “Approximation of common fixed points for finite families of total asymp-totically nonexpansive mappings,” J. Math. Anal. Appl., vol. 333, pp. 128-141, September 2007.
http://dx.doi.org/10.1016/j.jmaa.2006.09.023
[10] Z. h. Sun, “Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings,” J. Math. Anal. Appl., vol. 286, pp. 351–358, October 2003.
http://dx.doi.org/10.1016/S0022-247X(03)00537-7
[11] Z. M. Cheng, L. Deng, “Approximation of common fixed points for finite families of generalized asymptotically quasi-nonexpansive mappings,” Journal of Southwest University (Science Edition), Chongqing, vol. 32, pp. 143–147, June 2010.
[12] Y. Yao, J. C. Yao, and H. Zhou, “Approximation methods for common fixed points of infinite countable family of nonexpansive mappings,” Comp. Math. Appl., vol. 53, pp. 1380–1389, May 2007.
http://dx.doi.org/10.1016/j.camwa.2006.10.021
[13] V. Colao, G. Marino, “Common fixed points of strict pseudocontractions by iterative algorithms,” J. Math. Anal. Appl., vol. 382, pp. 631–644, October 2011.
http://dx.doi.org/10.1016/j.jmaa.2011.04.063
[14] W. Q. deng, “A modified Mann iteration process for common fixed points of an infinite family of nonexpansive mappings in Banach spaces,” Appl. Math. Sciences, vol. 4, pp. 1521–1526, 2011.
[15] A. R. Khan, M.A. Ahmed, “Convergence of a general iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces and applications,” Comp. Math. Appl., vol. 59, pp. 2990–2995, April 2010.
http://dx.doi.org/10.1016/j.camwa.2010.02.017
[16] A. Kettapun, A. Kananthai, and S. Suantai, “A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces,” Comp. Math. Appl., vol. 60, pp. 1430–1439, September 2010.
http://dx.doi.org/10.1016/j.camwa.2010.06.025
[17] C. Wang, J. Zhu, and L. An, “New iterative schemes for asymptotically quasi-nonexpansive nonself-mappings in Banach spaces,” J. Comp. Appl. Math., vol. 233, pp. 2948–2955, April 2010.
http://dx.doi.org/10.1016/j.cam.2009.11.039
[18] H. Zhou, G. Gao, and B. Tan, “Convergence theorems of a modified hybrid algorithm for a family of quasi-φ-asymptotically nonexpansive mappings,” J. Appl. Math. Comput., vol. 32., pp. 453–464, 2010.
http://dx.doi.org/10.1007/s12190-009-0263-4
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