CONVERGENCE TO COMMON FIXED POINTS FOR A FINITE FAMILY OF GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES

키워드

참고문헌 (33)

1. C. E. Chidume, "Iterative algorithms for nonexpansive mappings and some of their gen- eralizations, Nonlinear Anal. and Appl.: to V. Lakshmikantham on His 80th Birthday. Vol. 1, 2", pp.383~429 (2003), Kluwer Academic
2. C. E. Chidume, "Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces", J. Math. Anal. Appl, 330(1), pp.377~387 (2007)
3. H. Fukhar-ud-din, "Approximating common xed points of asymptotically nonexpansive mappings in uniformly convex Banach spaces", Comput. Math. Appl, 53(9), pp.1349~1360 (2007)
4. H. Fukhar-ud-din, "Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications", J. Math. Anal. Appl, 328(2), pp.821~829 (2007)
5. K. Goebel, "A fixed point theorem for asymptotically nonexpansive map- pings", Proc. Amer. Math. Soc, 35, pp.171~174 (1972)
6. K. Goebel, "A fixed point theorem for transformations whose iterates have uniform Lipschitz constant", Polska Akademia Nauk. Instytut Matematyczny. Studia Mathematica, 47, pp.135~140 (1973)
7. S. Imnang, "Common xed points of multi-step Noor iterations with errors for a nite family of generalized asymptotically quasi-nonexpansive mappings", Abstr. Appl. Anal, 009, pp.14~ (2009)
8. S. Ishikawa, "Fixed point by a new iteration method", Proc. Amer. Math. Soc, 44, pp.147~150 (1974)
9. J. U. Jeong, "Weak and strong convergence of the Ishikawa iteration process with errors for two asymptotically nonexpansive mappings", Appl. Math. Comput, 181(2), pp.1394~1401 (2006)
10. A. R. Khan, "Common fixed points of Noor iteration for a nite family of asymptotically quasi-nonexpansive mappings in Banach spaces", J. Math. Anal. Appl, 341(1), pp.1~11 (2008)
11. S. H. Khan, "Weak and strong convergence of a scheme with errors for two nonexpansive mappings", Nonlinear Analysis, 61, pp.1295~1301 (2005)
12. S. H. Khan, "Approximating common xed points of two asymptotically nonexpansive mappings", Scientiae Mathematicae Japonicae, 53(1), pp.143~148 (2001)
13. W. A. Kirk, "Fixed point theorems for non-lipschitzian mappings of asymptotically non- expansive type", Israel J. Math, 17, pp.339~346 (1974)
14. Q. H. Liu, "Iteration sequences for asymptotically quasi-nonexpansive mapping with an error member of uniformly convex Banach space", J. Math. Anal. Appl, 266, pp.468~471 (2002)
15. W. R. Mann, "Mean value methods in iteration", Proc. Amer. Math. Soc, 4, pp.506~510 (1953)
16. Z. Opial, "Weak convergence of the sequence of successive approximations for nonexpan- sive mappings", Bull. Amer. Math. Soc, 73, pp.591~597 (1967)
17. M. O. Osilike, "Weak and strong convergence theorems for xed points of asymptotically nonexpansive mappings", Math. Comput. Modelling, 32, pp.1181~1191 (2000)
18. S. Plubtieng, "Strong convergence theorems for multi-step Noor it- erations with errors in Banach spaces", J. Math. Anal. Appl, 321(1), pp.10~23 (2006)
19. S. Plubtieng, "On the convergence of modied Noor iterations with errors for asymptotically nonexpansive mappings", J. Math. Anal. Appl, 322(2), pp.1018~1029 (2006)
20. B. E. Rhoades, "Fixed point iteration for certain nonlinear mappings", J. Math. Anal. Appl, 183, pp.118~120 (1994)
21. D. R. Sahu, "Fixed point iteration processes for non-Lipschitzian mappings of asymptotically quasi-nonexpansive type", Int. J. Math. Math. Sci, 33, pp.2075~2081 (2003)
22. J. Schu, "Iterative construction of xed points of asymptotically nonexpansive mappings", J. Math. Anal. Appl, 158, pp.407~413 (1991)
23. J. Schu, "Weak and strong convergence theorems to fixed points of asymptotically non- expansive mappings", Bull. Austral. Math. Soc, 43, pp.153~159 (1991)
24. H. F. Senter, "Approximating xed points of nonexpansive mappings", Proc. Amer. Math. Soc, 44, pp.375~380 (1974)
25. N. Shahzad, "Approximating common xed points of two asymptotically quasi-nonexpansive mappings in Banach spaces", Fixed Point Theory and Applications, 2006, pp.1~10 (2006)
26. Z. Sun, "Strong convergence of an implicit iteration process for a nite family of asymp- totically quasi-nonexpansive mappings", J. Math. Anal. Appl, 286 (2003)(1), pp.351~358 (2003)
27. S. Suantai, "Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings", J. Math. Anal. Appl, 311(2), pp.506~517 (2005)
28. K. K. Tan, "Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process", J. Math. Anal. Appl, 178, pp.301~308 (1993)
29. K. K. Tan, "Fixed point iteration processes for asymptotically nonexpansive mappings", Proc. Amer. Math. Soc, 122, pp.733~739 (1994)
30. B. L. Xu, "Fixed point iterations for asymptotically nonexpansive map- pings in Banach spaces", J. Math. Anal. Appl, 267(2), pp.444~453 (2002)
31. H. K. Xu, "An implicit iteration process for nonexpansive mappings", Numer. Funct. Anal. Optim, 22, pp.767~773 (2001)
32. Y. Xu, "Ishikawa and Mann iterative process with errors for nonlinear strongly accretive operator equations", J. Math. Anal. Appl, 224(1), pp.91~101 (1998)
33. H. Y. Zhou, "Iterative processes for generalized asymptotically nonexpansive mappings in Banach spaces", Pan Amer. Math. J, 13, pp.99~107 (2003)

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