TY - JOUR
T1 - Convergence of a generalized iteration process for two finite families of Lipschitzian pseudocontractive mappings
AU - Khan, Safeer Hussain
AU - Yildirim, Isa
AU - Ozdemir, Murat
PY - 2011
Y1 - 2011
N2 - The purpose of this paper is to study the following iteration process xn=αnxn-1+βnSnxn-1+γnTnxn, nεN where Tn=TnmodN,. Sn=SnmodN, NεN. We prove a necessary and sufficient condition to obtain a strong convergence result. We also prove some other strong and weak convergence theorems for this iteration process for approximating a common fixed point of two finite families of Lipschitzian pseudocontractive mappings. Our results extend, improve and unify the corresponding results of Chen, Song and Zhou (2006) [8], Hao (2008) [11], Li, He and Zhao (2009) [9]. © 2010 Elsevier Ltd.
AB - The purpose of this paper is to study the following iteration process xn=αnxn-1+βnSnxn-1+γnTnxn, nεN where Tn=TnmodN,. Sn=SnmodN, NεN. We prove a necessary and sufficient condition to obtain a strong convergence result. We also prove some other strong and weak convergence theorems for this iteration process for approximating a common fixed point of two finite families of Lipschitzian pseudocontractive mappings. Our results extend, improve and unify the corresponding results of Chen, Song and Zhou (2006) [8], Hao (2008) [11], Li, He and Zhao (2009) [9]. © 2010 Elsevier Ltd.
UR - https://dx.doi.org/10.1016/j.mcm.2010.10.007
U2 - 10.1016/j.mcm.2010.10.007
DO - 10.1016/j.mcm.2010.10.007
M3 - Article
VL - 53
JO - Mathematical and Computer Modeling
JF - Mathematical and Computer Modeling
IS - Issue 5-6
ER -