Set-Valued Analysis

• Continuity of Set-Valued Maps.- Closed Convex Processes.- Existence and Stability of an Equilibrium.- Tangent Cones.- Derivatives of Set-Valued Map.- Epiderivatives of Extended Function.- Graphical #x0026; Epigraphical Convergence.- Measurability and Integration of Set-Valued Maps.- Selections and Parametrization.- Differential Inclusions.

From the reviews: "An elegantly written, introductory overview of the field, with a near-perfect choice of what to include and what not, enlivened by historical tidbits and made eminently readable throughout by a crisp language. It has succeeded in doing the near-impossible-it has made a subject which is generally inhospitable to nonspecialists because of its 'family jargon' appear non-intimidating even to a beginning graduate student." -Journal of the Indian Institute of Science "Highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." -Mathematical Reviews "A valuable resource for workers in many fields...contains a lot of information and many interesting asides...goes a long way toward providing a much needed basic resource on the subject." -Bulletin of the AMS "Provides a thorough introduction to the multivalued or set-valued analysis, gathering both old and new results in an up-to-date perspective. ...Graduate students and mathematicians of every persuasion will welcome this unparallel guide to set-valued analysis." -Zentralblatt Math "The book gives an in-depth introduction and overview of the field. ... the book is a basic resource for graduate students and researchers who are interested in the mathematics required to apply set-valued analysis in their work." (IEEE Control Systems Magazine, Vol. 30, April, 2010)