Noncompactness principles in nonlinear operator approximation theory

Abstract

This paper, which builds on recent work of Anselone and Ansorge, is concerned with the approximate solution of nonlinear equations involving noncompact operators. Roughly speaking, the concepts developed (such as measure of d-noncompactn ess, generalized noncompact convergence, etc.) play the same role for approximation problems as the theory of condensing operators for existence problems.