Fixed Point Theorems and Applications

Table of Contents

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   Book Overview
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   Chapter 1 The Banach Contraction Principle
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   Chapter 2 The Boyd-Wong Theorem
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   Chapter 3 Further Extensions of the Contraction Principle
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   Chapter 4 Weak Contractions
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   Chapter 5 Contractions of $$\varepsilon $$ -Type
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   Chapter 6 Sequences of Maps and Fixed Points
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   Chapter 7 Fixed Points of Non-expansive Maps
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   Chapter 8 The Riesz Mean Ergodic Theorem
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    Chapter 9 The Brouwer Fixed Point Theorem
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    Chapter 10 The Schauder-Tychonoff Fixed Point Theorem
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    Chapter 11 Further Consequences of the Schauder-Tychonoff Theorem
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    Chapter 12 The Markov-Kakutani Theorem
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    Chapter 13 The Kakutani-Ky Fan Theorem
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    Chapter 14 The Implicit Function Theorem
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    Chapter 15 Location of Zeros
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    Chapter 16 Ordinary Differential Equations in Banach Spaces
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    Chapter 17 The Lax-Milgram Lemma
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    Chapter 18 An Abstract Elliptic Problem
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    Chapter 19 Semilinear Evolution Equations
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    Chapter 20 An Abstract Parabolic Problem
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    Chapter 21 The Invariant Subspace Problem
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    Chapter 22 Measure Preserving Maps on Compact Hausdorff Spaces
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    Chapter 23 Invariant Means on Semigroups
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    Chapter 24 Haar Measures
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    Chapter 25 Game Theory
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    Chapter 26 Problems