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| Introduction | |
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| The Hahn-Banach-Lagrange theorem and some consequences | |
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| The Hahn-Banach-Lagrange theorem | |
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| Applications to functional analysis | |
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| A minimax theorem | |
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| The dual and bidual of a normed space | |
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| Excess, duality gap, and minimax criteria for weak compactness | |
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| Sharp Lagrange multiplier and KKT results | |
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| Fenchel duality | |
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| A sharp version of the Fenchel Duality theorem | |
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| Fenchel duality with respect to a bilinear form - locally convex spaces | |
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| Some properties of 1/2.2 | |
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| The conjugate of a sum in the locally convex case | |
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| Fenchel duality vs the conjugate of a sum | |
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| The restricted biconjugate and Fenchel-Moreau points | |
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| Surrounding sets and the dom lemma | |
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| The ⊖-theorem | |
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| The Attouch-Brezis theorem | |
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| A bivariate Attouch-Brezis theorem | |
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| Multifunctions, SSD spaces, monotonicity and Fitzpatrick functions | |
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| Multifunctions, monotonicity and maximality | |
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| Subdifferentials are maximally monotone | |
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| SSD spaces, q-positive sets and BC-functions | |
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| Maximally q-positive sets in SSD spaces | |
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| SSDB spaces | |
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| The SSD space E � E* | |
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| Fitzpatrick functions and fitzpatrifications | |
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| The maximal monotonicity of a sum | |
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| Monotone multifunctions on general Banach spaces | |
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| Monotone multifunctions with bounded range | |
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| A general local boundedness theorem | |
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| The six set theorem and the nine set theorem | |
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| D(S<sub>ϕ</sub>) and various hulls | |
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| Monotone multifunctions on reflexive Banach spaces | |
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| Criteria for maximality, and Rockafellar's surjectivity theorem | |
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| Surjectivity and an abstract Hammerstein theorem | |
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| The Brezis-Haraux condition | |
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| Bootstrapping the sum theorem | |
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| The > six set and the > nine set theorems for pairs of multifunctions | |
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| The Brezis-Crandall-Pazy condition | |
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| Special maximally monotone multifunctions | |
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| The norm-dual of the space E � E* and <$>-functions | |
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| Subclasses of the maximally monotone multifunctions | |
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| First application of Theorem 35.8: type (D) implies type (FP) | |
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| T<sub>clb</sub>(E**), T<sub>clbn</sub>(B*) and type (ED) | |
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| Second application of Theorem 35.8: type (ED) implies type (FPV) | |
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| Final applications of Theorem 35.8: type (ED) implies strong | |
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| Strong maximality and coercivity | |
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| Type (ED) implies type (ANA) and type (BR) | |
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| The closure of the range | |
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| The sum problem and the closure of the domain | |
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| The biconjugate of a maximum and T<sub>clb</sub>(E**) | |
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| Maximally monotone multifunctions with convex graph | |
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| Possibly discontinuous positive linear operators | |
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| Subtler properties of subdifferentials | |
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| Saddle functions and type (ED) | |
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| The sum problem for general Banach spaces | |
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| Introductory comments | |
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| Voisei's theorem | |
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| Sums with normality maps | |
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| A theorem of Verona-Verona | |
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| Open problems | |
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| Glossary of classes of multifunctions | |
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| A selection of results | |
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| Referencess | |
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| Subject index | |
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| Symbol index | |