TY - JOUR
T1 - Weak and strong convergence theorems without some widely used conditions
AU - Khan, Safeer Hussain
AU - Fukhar-Ud-Din, Hafiz
PY - 2010/12/10
Y1 - 2010/12/10
N2 - We establish weak (strong) convergence of Ishikawa iterates of two asymptotically (quasi-)nonexpansive maps without any condition on the rate of convergence associated with the two maps. Moreover, our weak convergence results do not require any of the Opial condition, Kadec-Klee property or Fréchet differentiable norm. © 2010 Academic Publications.
AB - We establish weak (strong) convergence of Ishikawa iterates of two asymptotically (quasi-)nonexpansive maps without any condition on the rate of convergence associated with the two maps. Moreover, our weak convergence results do not require any of the Opial condition, Kadec-Klee property or Fréchet differentiable norm. © 2010 Academic Publications.
KW - Asymptotically (quasi-)nonexpansive map
KW - Common fixed point
KW - Demiclosedness
KW - Ishikawa iteration process
KW - Weak and strong convergence
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M3 - Article
SN - 1311-8080
VL - 63
SP - 137
EP - 148
JO - International Journal of Pure and Applied Mathematics
JF - International Journal of Pure and Applied Mathematics
IS - 2
ER -