From Hahn-Banach to Monotonicity - Lecture Notes in Mathematics 1693 (Paperback)Stephen Simons (author)
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This new edition of LNM 1693 aims to reduce questions on monotone multifunctions to questions on convex functions. However, rather than using a "big convexification" of the graph of the multifunction and the "minimax technique" for proving the existence of linear functionals satisfying certain conditions, the Fitzpatrick function is used. The journey begins with the Hahn-Banach theorem and culminates in a survey of current results on monotone multifunctions on a Banach space.
Publisher: Springer-Verlag New York Inc.
Number of pages: 248
Weight: 830 g
Dimensions: 235 x 155 x 14 mm
Edition: 2nd, exp. ed. 2008
From the reviews of the second edition:
"Like the first edition it is cleanly, indeed elegantly, written and singularly free of even minor infelicities. ... The book has seven core chapters ... . In conclusion, I highly recommend this book as a resource to anyone interested in learning, teaching or applying the modern abstract theory of monotone multifunctions." (J. Borwein, Mathematical Reviews, Issue 2008 k)
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