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

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 spac...

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Veröffentlicht in:Computational mathematics and mathematical physics 2014-03, Vol.54 (3), p.397-406
Hauptverfasser: Buong, Nguyen, Dung, Nguyen Dinh
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542514030130