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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2014 Volume 54, Number 3, Page 391 (Mi zvmmf10000)

This article is cited in 4 papers

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

Buong Nguyena, Dinh Dung Nguyenb

a Vietnamese Academy of Science and Technology, Institute of Information Technology, 18, Hoang Quoc Viet, Hanoi, Vietnam
b Thainguyen National University, Thainguyen City, Vietnam

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.

Key words: accretive and $\alpha$-strong accretive mapping, $\gamma$-co-coercive mapping, reflexive Banach space, Fréchet differentiable and the Browder–Tikhonov regularization.

UDC: 519.61

Received: 22.05.2013

Language: English

DOI: 10.7868/S0044466914030144


 English version:
Computational Mathematics and Mathematical Physics, 2014, 54:3, 397–406

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