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2012 IMPLICIT AND EXPLICIT ALGORITHMS FOR MINIMUM-NORM FIXED POINTS OF PSEUDOCONTRACTIONS IN HILBERT SPACES
Yonghong Yao, Vittorio Colao, Giuseppe Marino, Hong-Kun Xu
Taiwanese J. Math. 16(4): 1489-1506 (2012). DOI: 10.11650/twjm/1500406745

Abstract

We introduce implicit and explicit iterative algorithms for the construction of fixed points of pseudocontractions $T$ in Hilbert spaces. We prove that the proposed iterative algorithms converge strongly to the minimum-norm fixed point of $T$. Moreover we show that some of the existing iterative algorithms for nonexpansive mappings fail to converge when applied to pseudocontractions.

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Yonghong Yao. Vittorio Colao. Giuseppe Marino. Hong-Kun Xu. "IMPLICIT AND EXPLICIT ALGORITHMS FOR MINIMUM-NORM FIXED POINTS OF PSEUDOCONTRACTIONS IN HILBERT SPACES." Taiwanese J. Math. 16 (4) 1489 - 1506, 2012. https://doi.org/10.11650/twjm/1500406745

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1293.47068
MathSciNet: MR2951149
Digital Object Identifier: 10.11650/twjm/1500406745

Subjects:
Primary: 47H05, 47H10, 47H17

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

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Vol.16 • No. 4 • 2012
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