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Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings

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Abstract

In this paper, some iterative schemes for approximating the common element of the set of zero points of maximal monotone operators and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space are proposed. Some strong convergence theorems are obtained, to extend the previous work.

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Authors and Affiliations

  1. School of Math. and Statist., Hebei Univ. of Economics and Business, Shijiazhuang, 050061, China

    Li Wei

  2. Dept. of Math., Tianjin Polytechnic Univ., Tianjin, 300160, China

    Yong-fu Su

  3. Institute of Appl. Math. and Mech., Ordnance Engineer. College, Shijiazhuang, 050003, China

    Hai-yun Zhou

Authors
  1. Li Wei
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  2. Yong-fu Su
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  3. Hai-yun Zhou
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Supported by the National Natural Science Foundation of China (10771050)

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Wei, L., Su, Yf. & Zhou, Hy. Iterative convergence theorems for maximal monotone operators and relatively nonexpansive mappings. Appl. Math. J. Chin. Univ. 23, 319–325 (2008). https://doi.org/10.1007/s11766-008-1951-9

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  • DOI: https://doi.org/10.1007/s11766-008-1951-9

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