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

Issue

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

Section

Articles

License

Copyright (c) 2018 Armenian Journal of Mathematics

Creative Commons 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)