Abstract
The purpose of this article is to propose a modified hybrid projection algorithm and prove a strong convergence theorem for closed and quasi-strict pseudo-contractions. Its results hold in reflexive, strictly convex and smooth Banach spaces with the property (K). The results of this paper improve and extend the corresponding results of Matsushita and Takahashi (J. Approx. Theory 134:257–266, 2005), Qin and Su (Nonlinear Anal. 67:1958–1965, 2007), Marino and Xu (J. Math. Anal. Appl. 329:336–346, 2007) and others.
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Suported by the National Natural Science Foundation of China under grant (10771050).
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Zhou, H., Gao, X. An iterative method of fixed points for closed and quasi-strict pseudo-contractions in Banach spaces. J. Appl. Math. Comput. 33, 227–237 (2010). https://doi.org/10.1007/s12190-009-0283-0
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DOI: https://doi.org/10.1007/s12190-009-0283-0