Open Access
2008 ON HYBRID PROXIMAL-TYPE ALGORITHMS IN BANACH SPACES
L. C. Ceng, A. Petruşel, S. Y. Wu
Taiwanese J. Math. 12(8): 2009-2029 (2008). DOI: 10.11650/twjm/1500405133

Abstract

In this paper, we propose new hybrid proximal-type algorithms for a maximal monotone operator in a Banach spaces and establish some strong convergence results. An application to the problem of finding a minimizer of a convex function is given.

Citation

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L. C. Ceng. A. Petruşel. S. Y. Wu. "ON HYBRID PROXIMAL-TYPE ALGORITHMS IN BANACH SPACES." Taiwanese J. Math. 12 (8) 2009 - 2029, 2008. https://doi.org/10.11650/twjm/1500405133

Information

Published: 2008
First available in Project Euclid: 18 July 2017

zbMATH: 1215.47060
MathSciNet: MR2449960
Digital Object Identifier: 10.11650/twjm/1500405133

Subjects:
Primary: 47H05 , 47H09 , 47J25

Keywords: Banach space , generalized projection , hybrid proximal-type algorithm , maximal monotone operator , relatively nonexpansive mapping , strong convergence

Rights: Copyright © 2008 The Mathematical Society of the Republic of China

Vol.12 • No. 8 • 2008
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