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

Authors

  • M. Beheshti Department of Mathematics, Science and Research Branch, Islamic Azad university, Tehran, Iran
  • M. Azhini Department of Mathematics, Science and Research Branch, Islamic Azad university, Tehran, Iran.

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

Versions

Issue

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

Section

Articles

How to Cite

Generalized Viscosity Approximation Methods of Ishikawa Type for Nonexpansive Mappings in Hilbert Spaces. (2018). Armenian Journal of Mathematics, 10(1). http://test.armjmath.sci.am/index.php/ajm/article/view/192