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 73
... properties . Set - valued analysis should play an important role in the new field of qualitative physics , a rapidly growing branch of Artificial Intelligence . 3. Problems with constraints also yield specific set - valued maps ...
... Properties of Set - Valued Maps Having briefly indicated the importance of set - valued maps in a wide spectrum of applications and of fundamental mathematics , we paint a broad picture of their properties . We follow , in doing so ...
... properties of the vector subspaces . For this reason , we select the closed convex processes , i.e. , the maps whose graphs are closed convex cones , as the candidates to play the part of set - valued linear maps . We shall see later ...
... - 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.
... properties of linear set - valued maps to nonlinear maps . • GRADIENTS OF FUNCTIONS AND THE FERMAT RULE The particular case of real - valued functions deserves a study by itself for taking into account the order relation of real num ...