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 1-5 of 48
... Measurable Set- Valued Maps 306 8.2 Calculus of Measurable Maps 310 8.3 Proof of the Characterization Theorem 319 8.4 Limits of Measurable Maps and Selections 322 8.5 Tangent Cones in Lebesgue Spaces 324 8.6 Integral of Set- Valued Maps ...
... Measurable/Lipschitz Parametrization 379 10 Differential Inclusions 383 10.1 The Viability Theorem 387 10.1.1 Solutions to Differential Inclusions 388 10.1.2 Statements of the Viability Theorems 389 10.1.3 Viability Kernels 392 10.1.4 ...
... measurable maps whenever we deal with models of systems having measurable data, and in particular when we deal with random set-valued variables (an issue we shall not address in this book.) Another important instance where measurable ...
... measurable set-valued maps do have measurable selections and that continuous (Caratheodory, Lipschitz) maps do have continuous (Caratheodory, Lipschitz) selections under severe restrictions: The images of the set- valued map must be ...
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