Set-Valued Analysis"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by 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 nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includes...results with many historical comments giving the reader a sound perspective to look at the subject...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "I recommend this book as one to dig into with considerable pleasure when one already knows the subject...‘Set-Valued Analysis’ goes a long way toward providing a much needed basic resource on the subject." —Bulletin of the American Mathematical Society "This book provides a thorough introduction to multivalued or set-valued analysis...Examples in many branches of mathematics, given in the introduction, prevail [upon] the reader the indispensability [of dealing] with sequences of sets and set-valued maps...The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math |
From inside the book
... set - valued maps yielded the way to single - valued maps : A set - valued map was viewed at the time as a single - valued map from a set to the power set of another set . However , as it turned out , the structures exported to power sets ...
... set - valued map F , since we have introduced a way to implement the tangency for any subset of a normed space . Therefore , in the framework of a given problem , we can regard a tangent cone to the graph of the set - valued map F at ...
... MAPS What about the convergence of a sequence of set - valued maps Fn ? The first idea which comes to mind is to extend the various notions of uniform convergence of single - valued maps , regarded as a map from one space to another ...
... set - valued maps . Integrals of set - valued maps are involved in many con- vexification ( also called relaxation ) problems , since roughly speaking the integral of a measurable set - valued map is always convex . This property was in ...
... map to the solution map of variational inclusions ( which are linearizations of the differential inclusion along a solution ) and state some applications of the Viability ... set - valued maps. Properties of Set - Valued Maps 13 40441_13.pdf.