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. 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.