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 54
... Functions 219 6.1 Contingent Epiderivatives 222 6.1.1 Extended Functions and ... Convex Epiderivatives 240 6.3 Epidifferential Calculus 242 6.4 Generalized ... Convex Functions 255 6.6 Higher Order Epiderivatives 259 6.6.1 Second Order ...
... Functions of Epilimits 289 7.6 Graphical Convergence of Gradients 294 7.6.1 Convergence of Gradients of Smooth Functions 295 7.6.2 Convergence of Subdifferentials of Convex Functions 297 7.7 Asymptotic Epiderivatives 300 8 Measurability ...
... Convex Compact Sets .... 365 9.4.2 The Intersection Lemma 369 9.4.3 Lipschitz Selections of Lipschitz Maps 372 9.5 ... Functions 395 10.2.3 Tracking a Differential Inclusion 398 10.3 Nonlinear Semi-Groups 399 10.4 Filippov's Theorem 400 ...
... Functions 66 4.1 Properties of Contingent 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 ...
... functions beyond differentiable functions. The crucial revolution in the history of the concept of gradients happened in the sixties when J.- J. Moreau and R. T. Rock- afellar proposed in the framework of convex ... convex function, which is ...