Perturbation Bounds for the Metric Projection of a Point onto a Linear Manifold in Reflexive Strictly Convex Banach Spaces

In this paper, by using some recent perturbation bounds for the Moore-Penrose metric generalized inverse, we present some results on the perturbation analysis for projecting a point onto a linear manifold in reflexive strictly convex Banach spaces. The main results have two parts, part one covers consistent operator equations and part two covers the general so-called ill posed operator equations.