| Introduction | p. 1 |
| Pre-Requisites of Fixed Points | p. 3 |
| The Background of Metrical Fixed Point Theory | p. 3 |
| Fixed Point Iteration Procedures | p. 15 |
| Fixed Point Formulation of Typical Functional Equations | p. 19 |
| Bibliographical Comments | p. 27 |
| Exercises and Miscellaneous Results | p. 28 |
| The Picard Iteration | p. 31 |
| Banach's Fixed Point Theorem | p. 31 |
| Theorem of Nemytzki-Edelstein | p. 34 |
| Quasi-Nonexpansive Operators | p. 36 |
| Maia's Fixed Point Theorem | p. 39 |
| [phi]-Contractions | p. 41 |
| Generalized [phi]-Contractions | p. 45 |
| Weak Contractions | p. 50 |
| Bibliographical Comments | p. 57 |
| Exercises and Miscellaneous Results | p. 59 |
| The Krasnoselskij Iteration | p. 63 |
| Nonexpansive Operators in Hilbert Spaces | p. 63 |
| Strictly Pseudocontractive Operators | p. 70 |
| Lipschitzian and Generalized Pseudocontractive Operators | p. 71 |
| Pseudo [phi]-Contractive Operators | p. 77 |
| Quasi Nonexpansive Operators | p. 79 |
| Bibliographical Comments | p. 83 |
| Exercises and Miscellaneous Results | p. 85 |
| The Mann Iteration | p. 89 |
| The General Mann Iteration | p. 89 |
| Nonexpansive and Quasi-Nonexpansive Operators | p. 93 |
| Strongly Pseudocontractive Operators | p. 104 |
| Bibliographical Comments | p. 109 |
| Exercises and Miscellaneous Results | p. 111 |
| The Ishikawa Iteration | p. 113 |
| Lipschitzian and Pseudo-Contractive Operators in Hilbert Spaces | p. 114 |
| Strongly Pseudo-Contractive Operators in Banach Spaces | p. 117 |
| Nonexpansive Operators in Banach Spaces Satisfying Opial's Condition | p. 121 |
| Quasi-Nonexpansive Type Operators | p. 127 |
| The Equivalence Between Mann and Ishikawa Iterations | p. 131 |
| Bibliographical Comments | p. 132 |
| Exercises and Miscellaneous Results | p. 134 |
| Other Fixed Point Iteration Procedures | p. 135 |
| Mann and Ishikawa Iterations with Errors | p. 135 |
| Modified Mann and Ishikawa Iterations | p. 139 |
| Ergodic and Other Fixed Point Iteration Procedures | p. 142 |
| Perturbed Mann Iteration | p. 145 |
| Viscosity Approximation Methods | p. 147 |
| Bibliographical Comments | p. 151 |
| Exercises and Miscellaneous Results | p. 155 |
| Stability of Fixed Point Iteration Procedures | p. 157 |
| Stability and Almost Stability of Fixed Point Iteration Procedures | p. 157 |
| Weak Stability of Fixed Point Iteration Procedures | p. 162 |
| Data Dependence of Fixed Points | p. 166 |
| Sequences of Applications and Fixed Points | p. 172 |
| Bibliographical Comments | p. 175 |
| Exercises and Miscellaneous Results | p. 176 |
| Iterative Solution of Nonlinear Operator Equations | p. 179 |
| Nonlinear Equations in Arbitrary Banach Spaces | p. 180 |
| Nonlinear Equations in Smooth Banach Spaces | p. 186 |
| Nonlinear m-Accretive Operator Equations in Reflexive Banach Spaces | p. 193 |
| Bibliographical Comments | p. 196 |
| Exercises and Miscellaneous Results | p. 197 |
| Error Analysis of Fixed Point Iteration Procedures | p. 199 |
| Rate of Convergence of Iterative Processes | p. 200 |
| Comparison of Some Fixed Point Iteration Procedures for Continuous Functions | p. 202 |
| Comparing Picard, Krasnoselskij and Mann Iterations in the Class of Lipschitzian Generalized Pseudocontractions | p. 207 |
| Comparing Picard, Mann and Ishikawa Iterations in a Class of Quasi Nonexpansive Maps | p. 210 |
| The Fastest Krasnoselskij Iteration for Approximating Fixed Points of Strictly Pseudo-Contractive Mappings | p. 213 |
| Empirical Comparison of Some Fixed Point Iteration Procedures | p. 216 |
| Bibliographical Comments | p. 218 |
| Exercises and Miscellaneous Results | p. 219 |
| References | p. 221 |
| List of Symbols | p. 305 |
| Author Index | p. 307 |
| Subject Index | p. 317 |
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