Iterative Methods for Solving Nonlinear Ill-posed problems

Abstract:Nonlinear ill-posed problems occur in many applications. Finding solution to such problems are mathematically challenging and interesting due to the fact that in most of the situations, they are unstable with respect to perturbations of the data. Many iterative schemes have been explored in the literature for finding stable approximate solutions of such problems. However, in this talk, our approach is, to propose various iterative schemes that use minimal and weaker assumptions compared to the existing schemes. We will be discussing theory as well as numerical illustrations of such schemes to solve the nonlinear ill-posed operator equations.