GENERAL ITERATIVE METHODS FOR A FAMILY OF NONEXPANSIVE MAPPINGS

Authors

  • M. YAZDI Department of Mathematics, Malard Branch, Islamic Azad University, Malard, Iran

Keywords:

Fixed point, Nonexpansive mapping, Weak contraction, Variational inequality

Abstract

In this paper, we introduce implicit and explicit iterative methods for finding a common element of the set of solutions of a variational inequality and the set of common fixed points for a countable family of nonexpansive mappings in a Hilbert space. For these methods, we prove some strong convergence theorems. These theorems improve and extend some results of Yao et al. [21] and Xu [20].

Additional Files

Published

01/19/2018

Issue

Vol. 8 No. 1 (2017): JNAO

Section

Research Articles

License

Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

Creative Commons License

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

Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.