The Method for Solving Fixed Point Problem of G-Nonexpansive Mapping in Hilbert Spaces Endowed with Graphs and Numerical Example

Wongvisarut Khuangsatung () and Atid Kangtunyakarn ()
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Wongvisarut Khuangsatung: Rajamangala University of Technology Thanyaburi
Atid Kangtunyakarn: King Mongkut’s Institute of Technology

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 1, 155-170

Abstract: Abstract The main aim of this paper is to study a strong convergence theorem of viscosity approximation method for G-nonexpansive mapping defined on a Hilbert space endowed with a directed graph. By using our main result, we give a numerical expample to approximate the value of π.

Keywords: G-nonexpansive mappings; viscosity approximation; edge-preserving; 47H09; 47H10; 05C69 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0391-y

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