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2015 HALPERN TYPE ITERATIONS FOR STRONGLY QUASI-NONEXPANSIVE SEQUENCES AND ITS APPLICATIONS
Hadi Khatibzadeh, Sajad Ranjbar
Taiwanese J. Math. 19(5): 1561-1576 (2015). DOI: 10.11650/tjm.19.2015.4700

Abstract

In this paper, we study the strong convergence of the Halpern type algorithms for a strongly quasi-nonexpansive sequence of operators. These results extend the results of Saejung [11]. Some applications in infinite family of firmly quasi-nonexpansive mappings, multiparameter proximal point algorithm, constraint minimization and subgradient projection are presented.

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Hadi Khatibzadeh. Sajad Ranjbar. "HALPERN TYPE ITERATIONS FOR STRONGLY QUASI-NONEXPANSIVE SEQUENCES AND ITS APPLICATIONS." Taiwanese J. Math. 19 (5) 1561 - 1576, 2015. https://doi.org/10.11650/tjm.19.2015.4700

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.47071
MathSciNet: MR3412021
Digital Object Identifier: 10.11650/tjm.19.2015.4700

Subjects:
Primary: 47H05 , 47H09 , 47H10 , 47J05

Keywords: fixed point , Halpern iteration , Halpern-Mann Proximal point algorithm , maximal monotone operator , strong convergence , strongly quasi-nonexpansive sequence

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 5 • 2015
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