Hybrid Methods for a Countable Family of G-Nonexpansive Mappings in Hilbert Spaces Endowed with Graphs

Suthep Suantai, Mana Donganont and Watcharaporn Cholamjiak
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Suthep Suantai: Data Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Mana Donganont: School of Science, University of Phayao, Phayao 56000, Thailand
Watcharaporn Cholamjiak: School of Science, University of Phayao, Phayao 56000, Thailand

Mathematics, 2019, vol. 7, issue 10, 1-13

Abstract: In this paper, we introduce the iterative scheme for finding a common fixed point of a countable family of G-nonexpansive mappings by the shrinking projection method which generalizes Takahashi Takeuchi and Kubota’s theorem in a Hilbert space with a directed graph. Simultaneously, we give examples and numerical results for supporting our main theorems and compare the rate of convergence of some examples under the same conditions.

Keywords: G-nonexpansive mapping; hybrid method; NST -condition; iteration; Hilbert space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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