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2010 WEAK AND STRONG CONVERGENCE THEOREMS OF A MANN-TYPE ITERATIVE ALGORITHM FOR k-STRICT PSEUDO-CONTRACTIONS
Yeol Je Cho, Xiaolong Qin, Jung Im Kang, Meijuan Shang
Taiwanese J. Math. 14(4): 1439-1455 (2010). DOI: 10.11650/twjm/1500405959

Abstract

In this paper, we consider a Mann-type iterative algorithm for nonself strict pseudo-contractions. Weak and strong convergence theorems are established in the framework of Hilbert spaces. The results presented in this paper improve and extend the results announced by many others.

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Yeol Je Cho. Xiaolong Qin. Jung Im Kang. Meijuan Shang. "WEAK AND STRONG CONVERGENCE THEOREMS OF A MANN-TYPE ITERATIVE ALGORITHM FOR k-STRICT PSEUDO-CONTRACTIONS." Taiwanese J. Math. 14 (4) 1439 - 1455, 2010. https://doi.org/10.11650/twjm/1500405959

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1217.47113
MathSciNet: MR2663923
Digital Object Identifier: 10.11650/twjm/1500405959

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

Keywords: fixed point , Hilbert space , Nonexpansive mapping , strict pseudo-contraction

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 4 • 2010
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