Opuscula Mathematica
Opuscula Math. 30, no. 3 (2010), 341-348

Strong convergence theorem of a hybrid projection algorithm for a family of quasi-ϕ-asymptotically nonexpansive mappings

J. F. Tang
S. S. Chang
M. Liu
J. A. Liu
Abstract. The main purpose of this paper is by using a new hybrid projection iterative algorithm to prove some strong convergence theorems for a family of quasi-\(\phi\)-asymptotically nonexpansive mappings. The results presented in the paper improve and extend the corresponding results announced by some authors.
Keywords: quasi-\(\phi\)-asymptotically nonexpansive mapping, asymptotically regular mapping, hybrid projection iterative algorithm, strong convergence theorem.
Mathematics Subject Classification: 47H09, 47H10.
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About the authors ▼
J. F. Tang
Yibin University, Department of Mathematics Yibin, Sichuan 644007, China
S. S. Chang
Yibin University, Department of Mathematics Yibin, Sichuan 644007, China
M. Liu
Yibin University, Department of Mathematics Yibin, Sichuan 644007, China
J. A. Liu
Beijing Institute of Petro-Chemical Industry, Department of Mathematics and Physics, Beijing, 102617, China
About the article ▼
Received: 2010-03-15.
Accepted: 2010-03-18.
Cite this article as ▼
J. F. Tang, S. S. Chang, M. Liu, J. A. Liu, Strong convergence theorem of a hybrid projection algorithm for a family of quasi-ϕ-asymptotically nonexpansive mappings, Opuscula Math. 30, no. 3 (2010), 341-348, http://dx.doi.org/10.7494/OpMath.2010.30.3.341.
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