TY - JOUR
T1 - A new one-step implicit iterative process for common fixed points of two asymptotically nonexpansive mappings in Banach spaces
AU - Yildirim, Isa
AU - Khan, Safeer H
PY - 2011/3/10
Y1 - 2011/3/10
N2 - The purpose of this paper is to introduce an implicit iteration process for approximating common fixed points of two finite families of asymptotically nonexpansive mappings {Tj}j=1N and {Sj}j=1N in Banach spaces and to prove weak and strong convergence theorems. The results presented in this paper improve and extend the corresponding results of Chang et al. (2006) [3], Chidume and Shahzad (2005) [4], Guo and Cho (2008) [8], Qin et al. [10], Sun (2003) [13], Xu and Ori (2001) [14], Zhao et al. (2008) [15], Zhao and Wang (2009) [16], Zhou and Chang (2002) [17], Zhou et al. (2006) [18]. © 2011 Elsevier Ltd.
AB - The purpose of this paper is to introduce an implicit iteration process for approximating common fixed points of two finite families of asymptotically nonexpansive mappings {Tj}j=1N and {Sj}j=1N in Banach spaces and to prove weak and strong convergence theorems. The results presented in this paper improve and extend the corresponding results of Chang et al. (2006) [3], Chidume and Shahzad (2005) [4], Guo and Cho (2008) [8], Qin et al. [10], Sun (2003) [13], Xu and Ori (2001) [14], Zhao et al. (2008) [15], Zhao and Wang (2009) [16], Zhou and Chang (2002) [17], Zhou et al. (2006) [18]. © 2011 Elsevier Ltd.
KW - Asymptotically nonexpansive mapping
KW - Implicit iterative algorithm
KW - Opial condition
KW - Semicompact
KW - Weak and strong convergence
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U2 - 10.1016/j.exmath.2011.01.005
DO - 10.1016/j.exmath.2011.01.005
M3 - Article
SN - 0723-0869
VL - 29
SP - 240
EP - 251
JO - Expositiones Mathematicae
JF - Expositiones Mathematicae
IS - 2
ER -