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- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Springer-Verlag Italia
- Subject
- Mathematics; Mathematics, general; Applications of Mathematics; Theoretical, Mathematical and Computational Physics
- ISSN
- 1578-7303
- eISSN
- 1579-1505
- DOI
- 10.1007/s13398-017-0390-y
- Publisher site
- See Article on Publisher Site
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 $$\pi $$ π using our theorem.
Journal
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas – Springer Journals
Published: Mar 21, 2017