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Modified Halpern’s iteration for fixed point theory of a finite family of G-nonexpansive mappings endowed with graph
Author(s)
Date Issued
April 1, 2018
Type
Article
Abstract
The aim of this research is to introduce G–S-mapping generated by a finite family of G-nonexpansive mappings and finite real numbers and prove a convergence theorem of Halpern iteration associated with G–S-mapping for fixed point problem of a finite family of G-nonexpansive mapping in Hilbert spaces endowed with graph, which extends the work of Tiammee et al. (Fixed Point Theory Appl. 2015:187, 2015). Moreover, we introduce a new method for the estimation of value of π using our theorem.
Citation
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A Matematicas, 112(2), 437-448, 2018