Journal of Optimization Theory and Applications

, Volume 154, Issue 1, pp 303–320

Strong Convergence Theorems for Nonexpansive Mappings and Ky Fan Inequalities

Article

DOI: 10.1007/s10957-012-0005-x

Cite this article as:
Anh, P.N. J Optim Theory Appl (2012) 154: 303. doi:10.1007/s10957-012-0005-x

Abstract

We introduce a new iteration method and prove strong convergence theorems for finding a common element of the set of fixed points of a nonexpansive mapping and the solution set of monotone and Lipschitz-type continuous Ky Fan inequality. Under certain conditions on parameters, we show that the iteration sequences generated by this method converge strongly to the common element in a real Hilbert space. Some preliminary computational experiences are reported.

Keywords

Nonexpansive mapping Fixed point Monotone Lipschitz-type continuous Ky Fan inequality 

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Department of Scientific FundamentalsPosts and Telecommunications Institute of TechnologyHanoiVietnam

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