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Convergence theorems of a modified hybrid algorithm for a family of quasi-φ-asymptotically nonexpansive mappings

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Abstract

The purpose of this article is to propose a modified hybrid projection algorithm and prove strong convergence theorems for a family of quasi-φ-asymptotically nonexpansive mappings. The results of this paper improve and extend the results of S. Matsushita and W. Takahashi (J. Approx. Theory, 134: 257–266 (2005)), T.H. Kim, H.K. Xu (Nonlinear Anal. 64: 1140–1152 (2006)), Y.F. Su, D.X. Wang, M.J. Shang (Fixed Point Theory Appl. 2008: 284613 (2008)) and others.

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Authors and Affiliations

  1. Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, 050003, P.R. China

    Haiyun Zhou, Gailiang Gao & Bin Tan

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  1. Haiyun Zhou
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  2. Gailiang Gao
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  3. Bin Tan
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Correspondence to Haiyun Zhou.

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Zhou, H., Gao, G. & Tan, B. Convergence theorems of a modified hybrid algorithm for a family of quasi-φ-asymptotically nonexpansive mappings. J. Appl. Math. Comput. 32, 453–464 (2010). https://doi.org/10.1007/s12190-009-0263-4

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  • DOI: https://doi.org/10.1007/s12190-009-0263-4

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