On the convergence of hybrid projection methods for asymptotically pseudocontractive mappings in the intermediate sense

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참고문헌 (27)

1. G. L. Acedo, "Iterative methods for strict pseudo-contractions in Hilbert spaces", Nonlinear Anal, 67(7), pp.2258~2271 (2007)
2. F. E. Browder, "Construction of xed points of nonlinear mappings in Hilbert space", J. Math. Anal. Appl, 20, pp.197~228
3. R. E. Bruck, "Convergence of iterates of asymptotically non- expansive mappings in Banach spaces with the uniform Opial property", Colloq. Math, 65(2), pp.169~179 (1993)
4. A. Genel, "An example concerning xed points", Israel J. Math, 22(1), pp.81~86 (1975)
5. K. Goebel, "A xed point theorem for asymptotically nonexpansive map- pings", Proc. Amer. Math. Soc, 35, pp.171~174 (1972)
6. I. Inchan, "Strong convergence theorems of hybrid methods for two asymptotically nonexpansive mappings in Hilbert spaces", Nonlinear Anal. Hybrid Syst, 2(4), pp.1125~1135 (2008)
7. T. H. Kim, "Convergence of the modied Mann's iteration method for asymptotically strict pseudo-contractions", Nonlinear Anal, 68(9), pp.2828~2836 (2008)
8. Y. Kimura, "Strong convergence of modied Mann iterations for asymptotically nonexpansive mappings and semigroups", Nonlinear Anal, 64(5), pp.1140~1152 (2006)
9. Y. Kimura, "On a hybrid method for a family of relatively nonexpansive mappings in a Banach space", J. Math. Anal. Appl, 357(2), pp.356~363 (2009)
10. W. A. Kirk, "Fixed point theorems for non-Lipschitzian mappings of asymptotically non- expansive type", Israel J. Math, 17, pp.339~346 (1974)
11. W. R. Mann, "Mean value methods in iteration", Proc. Amer. Math. Soc, 4, pp.506~510 (1953)
12. G. Marino, "Weak and strong convergence theorems for strict pseudo- contractions in Hilbert spaces", J. Math. Anal. Appl, 329(1), pp.336~346 (2007)
13. C. Martinez-Yanes, "Strong convergence of the CQ method for xed point iteration processes", Nonlinear Anal, 64(11), pp.2400~2411 (2006)
14. S. Y. Matsushita, "A strong convergence theorem for relatively non- expansive mappings in a Banach space", J. Approx. Theory, 134(2), pp.257~266 (2005)
15. K. Nakajo, "Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups", J. Math. Anal. Appl, 279(2), pp.372~379 (2003)
16. S. Plubtieng, "Strong convergence of modied Ishikawa itera- tion for two asymptotically nonexpansive mappings and semigroups", Nonlinear Anal
17. L. Qihou, "Convergence theorems of the sequence of iterates for asymptotically demicon- tractive and hemicontractive mappings", Nonlinear Anal, 26(11), pp.1835~1842 (1996)
18. X. Qin, "On hybrid projection methods for asymptotically quasi-ϕ-nonexpansive mappings", Appl. Math. Comput, 215(11), pp.3874~3883 (2010)
19. X. Qin, "A hybrid iterative scheme for asymptot- ically k-strict pseudo-contractions in Hilbert spaces", Nonlinear Anal, 70(5), pp.1902~1911 (2009)
20. X. Qin, "Convergence theorems of common xed points for a family of Lipschitz quasi-pseudocontractions", Nonlinear Anal, 71(1), pp.685~690 (2009)
21. X. Qin, "Convergence results on asymptotically pseudocon- tractive mappings in the intermediate sense", Fixed Point Theory Appl, 2010 (2010)
22. B. E. Rhoades, "Comments on two xed point iteration methods", J. Math. Anal. Appl, 56(3), pp.741~750 (1976)
23. D. R. Sahu, "Asymptotically strict pseudocontractive mappings in the intermediate sense", Nonlinear Anal, 70(10), pp.3502~3511 (2009)
24. J. Schu, "Iterative construction of xed points of asymptotically nonexpansive mappings", J. Math. Anal. Appl, 158(2), pp.407~413 (1991)
25. W. Takahashi, "Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces", J. Math. Anal. Appl, 341(1), pp.276~286 (2008)
26. H. Zegeye, "Strong convergence theorems for a nite family of nonex- pansive mappings and semigroups via the hybrid method", Nonlinear Anal, 72(1), pp.325~329 (2010)
27. H. Zhou, "Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces", Nonlinear Anal, 70(9), pp.3140~3145 (2009)

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