Generalized Viscosity Approximation Methods of Ishikawa Type for Nonexpansive Mappings in Hilbert Spaces

M. Beheshti; Mahdi Azhini

doi:10.52737/18291163-2018.10.1-1-14

Generalized Viscosity Approximation Methods of Ishikawa Type for Nonexpansive Mappings in Hilbert Spaces

Authors

M. Beheshti Islamic Azad University
Mahdi Azhini Islamic Azad University

DOI:

https://doi.org/10.52737/18291163-2018.10.1-1-14

Keywords:

Fixed point, nonexpansive mapping, contractive mapping, convergence theorem

Abstract

In this paper, by using generalized viscosity mappings, we prove two strong convergence theorems for finding fixed points of a nonexpansive mapping which is also a unique solution of the variational inequality. Our results extend and improve the recent ones announced by some authors.

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Published

2018-06-01 — Updated on 2022-09-19

Versions

2022-09-19 (2)
2018-06-01 (1)

Issue

Vol. 10 No. 1 (2018): Generalized Viscosity Approximation Methods of Ishikawa Type for Nonexpansive Mappings in Hilbert Spaces

Section

Articles

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Generalized Viscosity Approximation Methods of Ishikawa Type for Nonexpansive Mappings in Hilbert Spaces. (2022). Armenian Journal of Mathematics, 10(1), 1-14. https://doi.org/10.52737/18291163-2018.10.1-1-14 (Original work published 2018)