EXPANDING THE APPLICABILITY OF LAVRENTIEV REGULARIZATION METHODS FOR ILL-POSED EQUATIONS UNDER GENERAL SOURCE CONDITION

Abstract

In this paper, we expand the applicability of Lavrentiev regularization method forill-posed equations, recently presented in Mahale and Nair (2013). We use a modified center-type Lipschitz condition in our convergence analysis instead of Lipschitz-type condition usedin earlier studies such as Mahale and Nair (2000), (2013) and Tautenhn (2002).