The book presents a treatment of topological and differential properties of multivalued
mappings and marginal functions. In addition, applications to sensitivity analysis of
nonlinear programming problems under perturbations are studied. Properties of marginal
functions associated with optimization problems are analyzed under quite general
constraints defined by means of multivalued mappings. A unified approach to directional
differentiability of functions and multifunctions forms the base of the volume.
Nonlinear programming problems involving quasidifferentiable functions are considered as
well. A significant part of the results are based on theories and concepts of two former
Soviet Union researchers, Demyanov and Rubinov, and have never been published in English
before. |
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