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

How to Cite

Razani, A. ., & Yazdi, M. . (2012). A NEW ITERATIVE METHOD FOR NONEXPANSIVE MAPPINGS IN HILBERT SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 3(1), 85–92. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2657

Issue

Vol. 3 No. 1 (2012): JNAO

Section

Research Articles

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Creative Commons License

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