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Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces

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Abstract.

In this paper, we prove a strong convergence theorem for resolvents of maximal monotone operators in Banach spaces by the hybrid method in mathematical programming. Using this, we consider the problem of finding a minimizer of a convex function.

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Authors and Affiliations

  1. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, 152-8552, Oh-okayama, Meguro-ku, Tokyo, Japan

    Shigeo Ohsawa & Wataru Takahashi

Authors
  1. Shigeo Ohsawa
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  2. Wataru Takahashi
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Correspondence to Shigeo Ohsawa.

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Received: 20 November 2001; revised manuscript accepted: 11 October 2002

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Ohsawa, S., Takahashi, W. Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces. Arch. Math. 81, 439–445 (2003). https://doi.org/10.1007/s00013-003-0508-7

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  • DOI: https://doi.org/10.1007/s00013-003-0508-7

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