Khan, Safeer Hussain; Fukhar-Ud-Din, Hafiz Weak and strong convergence theorems without some widely used conditions. (English) Zbl 1210.47095 Int. J. Pure Appl. Math. 63, No. 2, 137-148 (2010). Authors’ abstract: 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 FrĂ©chet differentiable norm. Reviewer: Stepan Agop Tersian (Rousse) Cited in 1 Document MSC: 47J25 Iterative procedures involving nonlinear operators 47H10 Fixed-point theorems 47H05 Monotone operators and generalizations Keywords:asymptotically (quasi-)nonexpansive map; common fixed point; demiclosedness; Ishikawa iteration process; weak convergence; strong convergence PDFBibTeX XMLCite \textit{S. H. Khan} and \textit{H. Fukhar-Ud-Din}, Int. J. Pure Appl. Math. 63, No. 2, 137--148 (2010; Zbl 1210.47095)