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We introduce an iteration scheme for approximating common fixed points of two mappings. On one hand, it extends a scheme due to Agarwal et al. [2] to the case of two mappings while on the other hand,it is faster than both the Ishikawa type scheme and the one studied by Yao and Chen [18] for the purpose in some sense. Using this scheme,we prove some weak and strong convergence results for approximating common fixed points of two nonexpansive self mappings. We also outline the proofs of these results to the case of nonexpansive nonself mappings.
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참고문헌 (18)
참고문헌 신청
F. E. Browder / 1976 / Nonlinear operators and nolinear equations of evolution in Banach spaces / Proc. Symp. Pure Math.
G. Das / 1986 / Fixed points of quasinonexpansive mappings / Indian J. Pure Appl. Math. 17 (11) : 1263 ~ 1269
G. Li / 2001 / Demiclosedness principle and asymptotic behavior for nonexpansive mappings in metric spaces / Appl. Math. Lett. 14 (5) : 645 ~ 649
H. Fukhar-ud-din / 2007 / Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications / J. Math. Anal. Appl. 328 (2) : 821 ~ 829
J. Schu / 1991 / Weak and strong convergence to fixed points of asymptotically nonexpansive mappings / Bull. Austral. Math. Soc. 43 (1) : 153 ~ 159
G. Das / 1986 / Fixed points of quasinonexpansive mappings / Indian J. Pure Appl. Math. 17 (11) : 1263 ~ 1269
G. Li / 2001 / Demiclosedness principle and asymptotic behavior for nonexpansive mappings in metric spaces / Appl. Math. Lett. 14 (5) : 645 ~ 649
H. Fukhar-ud-din / 2007 / Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications / J. Math. Anal. Appl. 328 (2) : 821 ~ 829
J. Schu / 1991 / Weak and strong convergence to fixed points of asymptotically nonexpansive mappings / Bull. Austral. Math. Soc. 43 (1) : 153 ~ 159
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