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 51
... concept of tangent to the graph of a function : The tangent space to the graph of a function f at a point ( x , y ) of its graph is the line of slope f ' ( x ) , i.e. , the graph of the linear function u ↔ f ' ( x ) u . It is possible ...
... concept of limits , continuity and differentiability . His definitions have been canonized ever since : A function was allowed to be differentiated only if the differential quotients were converging to the derivative for the pointwise ...
... concept is closely related to G- convergence introduced by de Giorgi and has been extensively used in the study of stability of optimization problems5 . An interesting question arises : What are the connections be- tween the ...
... concept of epiderivatives , can even be taken lower semicontinu- ous ) , relate the graphical derivatives of the solution map to the solution map of variational inclusions ( which are linearizations of the differential inclusion along a ...
... concepts to this case in Section 4 , we gather in Section 3 the main definitions concerning set - valued maps . 1Had they been called Painlevé instead of Kuratowski , a easier name to pro- nounce indeed , these concepts could have been ...