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A regularized parameter choice in regularization for a common solution of a finite system of ill-posed equations involving Lipschitz continuous and accretive mappings

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Abstract

In this paper, we present a regularized parameter choice in a new regularization method of Browder-Tikhonov type, for finding a common solution of a finite system of ill-posed operator equations involving Lipschitz continuous and accretive mappings in a real reflexive and strictly convex Banach space with a uniformly Gateaux differentiate norm. An estimate for convergence rates of regularized solution is also established.

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Authors and Affiliations

  1. Vietnamese Academy of Science and Technology, Institute of Information Technology, 18, Hoang Quoc Viet, Hanoi, Vietnam

    Nguyen Buong

  2. Thainguyen National University, Thainguyen City, Vietnam

    Nguyen Dinh Dung

Authors
  1. Nguyen Buong
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  2. Nguyen Dinh Dung
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Correspondence to Nguyen Buong.

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Buong, N., Dung, N.D. A regularized parameter choice in regularization for a common solution of a finite system of ill-posed equations involving Lipschitz continuous and accretive mappings. Comput. Math. and Math. Phys. 54, 397–406 (2014). https://doi.org/10.1134/S0965542514030130

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  • DOI: https://doi.org/10.1134/S0965542514030130

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