A strong convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces
Summary: A demiclosedness principle for total asymptotically pseudocontractive mappings in Hilbert spaces is established. The strong convergence to a fixed point of total asymptotically pseudocontraction in Hilbert spaces is obtained based on demiclosedness principle, metric projective operator, and hybrid iterative method. The main results presented in this paper extend and improve the corresponding results of \textit{H.-Y. Zhou} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 9, 3140--3145 (2009; Zbl 1207.47052)], \textit{X.-L. Qin} et al. [Fixed Point Theory Appl. 2011, Article ID 859795, 11 p. (2011; Zbl 1215.47081)] and of many other authors.
scientific article; zbMATH DE number 6116333