참고문헌
-
R. P. Agarwal, N. J. Huang and Y. J. Cho, Stability of iterative procedures with errors for nonlinear equations of
$\phi$ -strongly accretive type operators, Numer. Funct. Anal. Optimiz., 22(2001), 471-485. https://doi.org/10.1081/NFA-100105303 - R. P. Agarwal, Y. J. Cho, J. Li and N. J. Huang, Stability of iterative procedures with errors approximating common fixed point for a couple of quasi-contractive mappings in q-uniformly smooth Banach spaces, J. Math. Anal. Appl., 272(2002), 435-447. https://doi.org/10.1016/S0022-247X(02)00150-6
- S. S. Chang, On the approximating problem of fixed points for asymptotically nonexpansive mappings, Indian J. Pure and Appl., 32(9)(2001), 1-11.
- M. K. Ghosh and L. Debnath, Convergence of Ishikawa iterative of quasi-nonexpansive mappings, J. Math. Anal. Appl., 207(1997), 96-103. https://doi.org/10.1006/jmaa.1997.5268
- K. Goebel and W. A. Kirk, A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc., 35(1)(1972), 171-174. https://doi.org/10.1090/S0002-9939-1972-0298500-3
- A. M. Harder, Fixed Point Theory and Stability Results for Fixed Point Iteration Procedures, Ph.D. Thesis, University of Missouru-Rolla, (1987).
- A. M. Harder and T. L. Hicks, A stable iteration procedure for nonexpansive mappings, Math. Japon., 33(1988), 687-692.
- A. M. Harder and T. L. Hicks, Stability results for fixed point iteration procedures, Math. Japon., 33(1988), 693-706.
- Z.Y. Huang, Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings, Comput. Math. Appl., 37(1999), 1-7.
- W. A. Kirk, Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type, Israel J. Math., 17(1974), 339-346. https://doi.org/10.1007/BF02757136
- Q. H. Liu, Iterative sequences for asymptotically quasi-nonexpansive mappings, J. Math. Anal. Appl., 259(2001), 1-7. https://doi.org/10.1006/jmaa.2000.6980
- Q. H. Liu, Iterative sequences for asymptotically quasi-nonexpansive mappings with error member, J. Math. Anal. Appl., 259(2001), 18-24. https://doi.org/10.1006/jmaa.2000.7353
- Q. H. Liu, Iteration sequences for asymptotically quasi-nonexpansive mappings with error member of uniformly convex Banach spaces, J. Math. Anal. Appl., 266(2002), 468-471. https://doi.org/10.1006/jmaa.2001.7629
- M. O. Osilike, Stable iteration procedures for strong pseudocontractions and nonlinear equations of the accretive type, J. Math. Anal. Appl., 204(1996), 677-692. https://doi.org/10.1006/jmaa.1996.0461
-
M. O. Osilike, Stability of the Mann and Ishikawa iteration procedures for
$\phi$ -strong pseudocontractions and nonlinear equations of the$\phi$ -strongly accretive type, J. Math. Anal. Appl., 227(1998), 319-334. https://doi.org/10.1006/jmaa.1998.6075 - W. V. Petryshyn and T. E. Williamson, Strong and weak convergence of the sequence of successive approximations for asymptotically quasi-nonexpansive mappings, J. Math. Anal. Appl., 43(1973), 459-497. https://doi.org/10.1016/0022-247X(73)90087-5
- B. E. Rhoades, Fixed point theorems and stability results for fixed point iteration procedures, Indian J. Pure and Appl., 21(1990), 1-9.
- B. E. Rhoades, Fixed point theorems and stability results for fixed point iteration procedures II, Indian J. Pure and Appl., 24(1993), 691-703.
- J. Schu, Iterative construction of fixed points of asymptotically nonexpansive mappings, J. Math. Anal. Appl., 158(1991), 407-413. https://doi.org/10.1016/0022-247X(91)90245-U
- K. K. Tan and H. K. Xu, Fixed point iteration processes for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc., 122(3)(1994), 733-739. https://doi.org/10.1090/S0002-9939-1994-1203993-5
- K. K. Tan and H. K. Xu, Approximating fixed point of nonexpansive mappings by the Ishikawa iterative process, J. Math. Anal. Appl., 178(1993), 301-308. https://doi.org/10.1006/jmaa.1993.1309
- L. C. Zeng, A note on approximating fixed points of nonexpansive mapping by the Ishikawa iterative processes, J. Math. Anal. Appl., 226(1998), 245-250. https://doi.org/10.1006/jmaa.1998.6053