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2011 Fixed Point Theorems and Ergodic Theorems for Nonlinear Mappings in Hilbert Spaces
Wataru Takahashi, Jen-Chih Yao
Taiwanese J. Math. 15(2): 457-472 (2011). DOI: 10.11650/twjm/1500406216

Abstract

In this paper, we first consider classes of nonlinear mappings containing the class of firmly nonexpansive mappings which can be deduced from an equilibrium problem in a Hilbert space. Further, we deal with fixed point theorems and ergodic theorems for these nonlinear mappings.

Citation

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Wataru Takahashi. Jen-Chih Yao. "Fixed Point Theorems and Ergodic Theorems for Nonlinear Mappings in Hilbert Spaces." Taiwanese J. Math. 15 (2) 457 - 472, 2011. https://doi.org/10.11650/twjm/1500406216

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 05954226
MathSciNet: MR2810163
Digital Object Identifier: 10.11650/twjm/1500406216

Subjects:
Primary: 47H10
Secondary: 47H05

Keywords: equilibrium problem , fixed point , Hilbert space , mean convergence , Nonexpansive mapping , nonspreading mapping

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 2 • 2011
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