Open Access
2014 On Strong Convergence of Halpern’s Method Using Averaged Type Mappings
F. Cianciaruso, G. Marino, A. Rugiano, B. Scardamaglia
J. Appl. Math. 2014(SI12): 1-11 (2014). DOI: 10.1155/2014/473243

Abstract

Under suitable hypotheses on control coefficients, we study Halpern’s method to approximate strongly common fixed points of a nonexpansive mapping and of a nonspreading mapping or a fixed point of one of them. A crucial tool in our results is the regularization with the averaged type mappings.

Citation

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F. Cianciaruso. G. Marino. A. Rugiano. B. Scardamaglia. "On Strong Convergence of Halpern’s Method Using Averaged Type Mappings." J. Appl. Math. 2014 (SI12) 1 - 11, 2014. https://doi.org/10.1155/2014/473243

Information

Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 1329.47066
MathSciNet: MR3230573
Digital Object Identifier: 10.1155/2014/473243

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI12 • 2014
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