A NEW ITERATIVE METHOD FOR NONEXPANSIVE MAPPINGS IN HILBERT SPACES

Authors

  • A. RAZANI Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box: 34149-16818, Qazvin, Iran
  • M. YAZDI Department of Mathematics, Faculty of Science, Imam Khomeini International University, P.O. Box: 34149-16818, Qazvin, Iran

Keywords:

Fixed point, Nonexpansive mapping, Iterative method, Variational inequality, Viscosity approximation

Abstract

In this paper, a new iterative method for finding a common fixed point of a countable nonexpansive mappings in a Hilbert space, is introduced. Then a strong convergence theorem for a countable family of nonexpansive mappings is proved. This theorem improve and extend some recent results of Tian (2010) and Xu (2004).

Additional Files

Published

03/31/2012

Issue

Vol. 3 No. 1 (2012): JNAO

Section

Research Articles

License

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

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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.