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Garcia-Falset, J., Llorens-Fuster, E. and Suzuki, T. (2011) Fixed Point Theory for a Class of Generalized Nonexpansive Mappings. Journal of Mathematical Analysis and Applications, 375, 185-195.
https://doi.org/10.1016/j.jmaa.2010.08.069

has been cited by the following article:

• TITLE: A Modified Thakur Three-Step Iterative Algorithm to Garcia-Falset Mappings and Variational Inequalities

  AUTHORS: Xinhong Chen, Wenxiang Han, Liping Gong, Chengjun Luo

  KEYWORDS: Banach Space, Fixed Point, Garcia-Falset Mapping, Strong Convergence, Variational Inequality

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.12, December 21, 2020

  ABSTRACT: In this paper, we suggest and analyze a modified Thakur three-step iterative algorithm to approximate a common element of the set of common fixed points of Garcia-Falset mappings and the set of solutions of some variational inequalities in Banach spaces. We also establish strong convergence theorems for a common solution of the above-said problems by the proposed iterative algorithm without the compactness assumption. The methods in this paper are novel and different from those given in many other papers. And the results are the extension and improvement of the recent results announced by many others.