Regularization of nonlinear Ill-posed equations with accretive operators. Issue 1 (28th April 2005)

• Record Type: Journal Article
• Authors: Alber, Ya. I.; Chidume, C. E.; Zegeye, H.
• Is Part Of: Fixed point theory and applications. Volume 2005:Issue 1(2005)
• Page Start: 11
• Page End: 33
• Publication Date: 2005-04-28
• Subjects: Fixed point theory -- Periodicals; Mappings (Mathematics) -- Periodicals; 515.7248
• DOI: 10.1155/FPTA.2005.11
• Languages: English
• ISSNs: 1687-1812

Abstract

Abstract : We study the regularization methods for solving equations with arbitrary accretive operators. We establish the strong convergence of these methods and their stability with respect to perturbations of operators and constraint sets in Banach spaces. Our research is motivated by the fact that the fixed point problems with nonexpansive mappings are namely reduced to such equations. Other important examples of applications are evolution equations and co-variational inequalities in Banach spaces.