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 44
... theory is to study the set - valued map G ( nonvacuity , continuity and differentiability in a suitable sense , and so on . ) We shall call G the marginal map . It is no wonder that game theory and mathematical economics use set ...
... theory started when von Neumann asked for an exten- sion of the Brouwer Fixed Point Theorem to set - valued maps , which was needed for finding noncooperative equilibria for n- person games , for instance . This was achieved with the ...
... theory was placed outside the pale of mathematics by the high priests of analytic functions ... Set theory , which developed from the theory of analytical functions , could prove useful to its elder sister and could show people of good ...
... theory , based on the Bipolar Theorem . Closed convex processes also possess eigenvectors and invariant spaces and cones . They truly deserve the status of linear set- valued maps . 3keeping us in line with Hadamard's linearity bill ...
... theory . In order to define space of normals , which in differential geom- etry consists of vectors othogonal to the tangent vector space , we are led to introduce the dual concept of normal cones to any subset . • DIFFERENTIATION OF ...