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Introduction

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1693 )

These notes fall into three distinct parts. In Chapter I, we discuss the “Hahn– Banach–Lagrange theorem”, a new version of the Hahn–Banach theorem, which gives very efficient proofs of the main existence theorems in functional analysis, optimization theory, minimax theory and convex analysis. In Chapter II, we zero in on the applications to convex analysis. In the remaining five chapters, we show how the results of the first two chapters can be used to obtain a large number of results on monotone multifunctions, many of which have not yet appeared in print.

Keywords

  • Banach Space
  • Convex Function
  • Maximal Monotonicity
  • Cient Condition
  • General Banach Space

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2008 Springer Science + Business Media B.V

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(2008). Introduction. In: From Hahn-Banach to Monotonicity. Lecture Notes in Mathematics, vol 1693 . Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6919-2_1

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