| Preface | 7 |
|---|
| Biographical Sketch of George Isac | 11 |
|---|
| Contents | 15 |
|---|
| List of Contributors | 23 |
|---|
| Part I Nonlinear Analysis | 28 |
|---|
| Discrete Approximation Processes of King's Type | 29 |
| Octavian Agratini and Tudor Andrica | 29 |
| Introduction | 29 |
| Further Results on Vn Type Operators | 30 |
| A General Class in Study | 33 |
| References | 37 |
| Isometrics in Non-Archimedean Strictly Convex and Strictly 2-Convex 2-Normed Spaces | 39 |
| Maryam Amyari and Ghadir Sadeghi | 39 |
| Introduction and Preliminaries | 39 |
| Non-Archimedean Strictly Convex 2-Normed Spaces | 41 |
| Non-Archimedean Strictly 2-Convex 2-Normed Spaces | 44 |
| References | 47 |
| Fixed Points and Generalized Stability for .-Additive Mappingsof Isac--Rassias Type | 49 |
| Liviu Cadariu and Viorel Radu | 49 |
| Introduction | 49 |
| Stability Properties for Cauchy Equationin -Normed Spaces | 51 |
| Other Examples and Applications | 57 |
| References | 61 |
| A Remark on W*-Tensor Products of W*-Algebras | 63 |
| Corneliu Constantinescu | 63 |
| Introduction | 63 |
| The Ordered Involutive Banach Space | 65 |
| The Multiplication | 71 |
| References | 78 |
| The Perturbed Median Principle for Integral Inequalitieswith Applications | 79 |
| S.S. Dragomir | 79 |
| Introduction | 79 |
| A Perturbed Version of the Median Principle | 82 |
| Some Examples for 0th-Degree Inequalities | 83 |
| Inequalities of the 1st-Degree | 88 |
| References | 89 |
| Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation | 90 |
| M. Eshaghi-Gordji, S. Kaboli-Gharetapeh, M.S. Moslehian, and S. Zolfaghari | 90 |
| Introduction | 91 |
| General Solution | 93 |
| Stability | 99 |
| References | 104 |
| .-Additive Mappings and Hyers--Ulam Stability | 106 |
| P. Gavruta and L. Gavruta | 106 |
| Introduction | 106 |
| Results | 107 |
| References | 110 |
| The Stability and Asymptotic Behavior of Quadratic Mappingson Restricted Domains | 112 |
| Kil-Woung Jun and Hark-Mahn Kim | 112 |
| Introduction | 112 |
| Approximately Quadratic Mappings | 114 |
| Quadratic Mappings on Restricted Domains | 118 |
| References | 121 |
| A Fixed Point Approach to the Stability of a Logarithmic Functional Equation | 123 |
| Soon-Mo Jung and Themistocles M. Rassias | 123 |
| Introduction | 123 |
| Preliminaries | 125 |
| Hyers--Ulam--Rassias Stability | 126 |
| Applications | 130 |
| References | 132 |
| Fixed Points and Stability of the Cauchy Functional Equationin Lie C*-Algebras | 134 |
| Cho
|