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 JAMP  Vol.8 No.12 , December 2020
A Modified Thakur Three-Step Iterative Algorithm to Garcia-Falset Mappings and Variational Inequalities
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.
Cite this paper: Chen, X. , Han, W. , Gong, L. and Luo, C. (2020) A Modified Thakur Three-Step Iterative Algorithm to Garcia-Falset Mappings and Variational Inequalities. Journal of Applied Mathematics and Physics, 8, 2930-2942. doi: 10.4236/jamp.2020.812216.
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