TY - JOUR
T1 - Common fixed points of two nonexpansive mappings by a modified faster iteration scheme
AU - Khan, Safeer H
AU - Kim, Jong Kyu
PY - 2010/11/2
Y1 - 2010/11/2
N2 - 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. © 2010 The Korean Mathematical Society.
AB - 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. © 2010 The Korean Mathematical Society.
KW - Common fixed point
KW - Iteration scheme
KW - Nonexpansive nonself mapping
KW - Nonexpansive self mapping
KW - Rate of convergence
KW - The condition (A')
KW - Weak and strong convergence
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U2 - 10.4134/BKMS.2010.47.5.973
DO - 10.4134/BKMS.2010.47.5.973
M3 - Article
SN - 1015-8634
VL - 47
SP - 973
EP - 985
JO - Bulletin of the Korean Mathematical Society
JF - Bulletin of the Korean Mathematical Society
IS - 5
ER -