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 85
... Tangent Cones 117 4.1 Tangent Cones to a Subset 121 4.1.1 Contingent Cones 121 4.1.2 Elementary Properties of Contingent Cones . . 125 4.1.3 Adjacent and Clarke Tangent Cones ... Hypertangent Cones 164 4.5.4 A Menagerie of Tangent Cones xiv.
... Tangent Cones 165 4.6 Tangent Cones to Sequences of Sets 166 4.7 Higher Order Tangent Sets 171 5 Derivatives of Set- Valued Maps 179 5.1 Contingent Derivatives 181 5.2 Adjacent and Circatangent Derivatives 189 5.2.1 Definitions and ...
... Tangent Cones in Lebesgue Spaces 324 8.6 Integral of Set- Valued Maps 326 8.7 Proofs of the Convexity of the Integral 333 8.7.1 Finite dimensional case 333 8.7.2 Infinite Dimensional Case 340 8.8 The Bang-Bang Principle 343 8.9 ...
... Cones 124 4.2 Properties of Adjacent Tangent Cones 129 4.3 Properties of Tangent Cones to Convex Sets 141 4.4 Properties of Contingent Cones to Derivable Sets in Finite Dimensional Spaces 152 4 . 5 Properties of Normal Cones In Finite ...
Jean-Pierre Aubin, Hélène Frankowska. • Tangents and Normals The concept of tangency has been overshadowed in some sense by the requirement that the space of tangent ... cones made of what we call tangent vectors. The most popular of these ...