Z. M. Wang, Y. F. Su, D. X. Wang and Y. C. Dong, “A Modified Halpern-Type Iteration Algorithm for a Family of HemiRelative Nonexpansive Mappings and Systems of Equilibrium Problems in Banach Spaces,” Journal of Computational and Applied Mathematics, Vol. 235, No. 8, 2011, pp. 2364-2371. http://dx.doi.org/10.1016/j.cam.2010.10.036

has been cited by the following article:

• TITLE: Common Fixed Point Theorems for Totally Quasi-G-Asymptotically Nonexpansive Semigroups with the Generalized f-Projection

  AUTHORS: Chunjie Wang, Yuanheng Wang

  KEYWORDS: Totally Quasi-G-Asymptotically Nonexpansive Semigroup; Generalized f-Projection Operator; Modified Halpern Type Hybrid Iterative Algorithm; Strong Convergence Theorem

  JOURNAL NAME: Applied Mathematics, Vol.5 No.1, January 2, 2014

  ABSTRACT: In this paper, we introduce some new classes of the totally quasi-G-asymptotically nonexpansive mappings and the totally quasi-G-asymptotically nonexpansive semigroups. Then, with the generalized f-projection operator, we prove some strong convergence theorems of a new modified Halpern type hybrid iterative algorithm for the totally quasi-G-asymptotically nonexpansive semigroups in Banach space. The results presented in this paper extend and improve some corresponding ones by many others.