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
Results 6-10 of 84
... derivatives of some set - valued maps are closed convex processes , which is a desirable property for a derivative3 ... derivative should be linear with respect to the increment . • NONLINEAR FUNCTIONAL ANALYSIS We are convinced that ...
... derivatives of set - valued maps . For instance , the concept of consistency is nothing other than the fact that the graph of F is the lower limit of the graphs of the approximate maps Fn , while stability is the boundedness of the ...
... In- verse - Function Theorem requires the notion of derivative of a set - valued map , leading to the question : How do we formulate this concept ? The idea is very simple and goes back to the. Properties of Set - Valued Maps 9 40441_9.pdf.
... derivative " of F at this point ( x , y ) . Derivatives built in this way from the various choices of tan- gent cones are called graphical derivatives and the calculus of tangent cones can be transferred to a set - valued differential ...
... derivative for the pointwise convergence topology . The need to use nondif- ferentiable functions has been felt ... derivatives of functions and distributions . But each of these extensions was devised for specific purposes ( solving ...