Modified CQ-Algorithms for G-Nonexpansive Mappings in Hilbert Spaces Involving Graphs

W. Cholamjiak (), D. Yambangwai (), H. Dutta and H. A. Hammad ()
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W. Cholamjiak: School of Science, University of Phayao, Phayao 56000, Thailand
D. Yambangwai: School of Science, University of Phayao, Phayao 56000, Thailand
H. Dutta: Department of Mathematics, Gauhati University, Guwahati 781014, India
H. A. Hammad: Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

New Mathematics and Natural Computation (NMNC), 2020, vol. 16, issue 01, 89-103

Abstract: In this paper, we introduce four new iterative schemes by modifying the CQ-method with Ishikawa and S-iterations. The strong convergence theorems are given by the CQ-projection method with our modified iterations for obtaining a common fixed point of two G-nonexpansive mappings in a Hilbert space with a directed graph. Finally, to compare the rate of convergence and support our main theorems, we give some numerical experiments.

Keywords: Strong convergence; CQ-projection method; G-nonexpansive mappings; modified iterations; numerical discussion (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S1793005720500064

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