On Sensitivity Analysis of Nonlinear Programs in Banach Spaces: The Approach via Composite Unconstrained Optimization

This article studies local sensitivity analysis of nonlinear programming problems in Banach spaces with arbitrary sets of solutions and no a priori regularity properties by developing a corresponding theory for unconstrained optimization and applying this theory to general nonlinear programs by way of certain reduction principles.

Abstract

This article studies local sensitivity analysis of nonlinear programming problems in Banach spaces with arbitrary sets of solutions and no a priori regularity properties. This is done by first developing a corresponding theory for unconstrained optimization involving simple composite functions and then applying this theory to general nonlinear programs by way of certain reduction principles.