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