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 91
... which associates with each state x the subset F ( x ) of feasible velocities is defined by : F ( x ) : = f ( x , U ( x ) ) { f ( x , u ) } u € U ( x ) So , the control system governed by the family of. 2 Introduction 40441_2.pdf.
... introduced monotone maps , which cover many important nonlinear single - valued or set - valued maps of the Calculus of Variations . 4 Introduction 40441_4.pdf.
... introduced by Painlevé in the first years of this century , just after Fréchet axiomatized in 1906 the concept of L - spaces ( on which a notion of limit is defined2 . ) Studying limits of sets together with limits of elements may have ...
... introduced at the beginning of the thirties by Bouligand and Kuratowski : Lower and upper semi- continuity . These ... introducing parasitic artifacts . For ex- ample , using such topologies to differentiate set - valued maps , leads to ...
... introducing adequate notions of con- vergence and derivatives of set - valued maps . For instance , the concept of ... Introduction 40441_8.pdf.