In Middle Volga Mathematical Society

Regularization fist order methods for equations with d-accretive nondifferentiated operator

N. V. Yurova

Nizhny Novgorod State Technical University

Abstract: We develop continuous and iterative regularization first order method for equation with d-accretive nondifferentiated operator in a Banach space, uniformly convex with its conjugate. In the case where the data are approximate, the sufficient conditions for strong convergence of the methods are obtained. The conditions include some requirements for the geometry of a Banach space.

Keywords: Banach space, d-accretive nondifferentiated operator, regularization method.

UDC: 517.988.68