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Topological methods for set-valued nonlinear analysis [[electronic resource] /] / Enayet U. Tarafdar & Mohammad S.R. Chowdhury
| Topological methods for set-valued nonlinear analysis [[electronic resource] /] / Enayet U. Tarafdar & Mohammad S.R. Chowdhury |
| Autore | Tarafdar Enayet U (Enayet Ullah) |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (627 p.) |
| Disciplina |
515
515.2 515/.2 |
| Altri autori (Persone) | ChowdhuryMohammad S. R <1959-> (Mohammad Showkat Rahim) |
| Soggetto topico |
Set-valued maps
Nonlinear functional analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93395-3
9786611933951 981-279-146-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Introduction; 2. Contraction Mappings; 2.1 Contraction Mapping Principle in Uniform Topological Spaces and Applications; 2.2 Banach Contraction Mapping Principle in Uniform Spaces; 2.2.1 Successive Approximation; 2.3 Further Generalization of Banach Contraction Mapping Principle; 2.3.1 Fixed Point Theorems for Some Extension of Contraction Mappings on Uniform Spaces; 2.3.2 An Interplay Between the Order and Pseudometric Partial Ordering in Complete Uniform Topological Space; 2.4 Changing Norm; 2.4.1 Changing the Norm; 2.4.2 On the Approximate Iteration
2.5 The Contraction Mapping Principle Applied to the Cauchy- Kowalevsky Theorem2.5.1 Geometric Preliminaries; 2.5.2 The Linear Problem; 2.5.3 The Quasilinear Problem; 2.6 An Implicit Function Theorem for a Set of Mappings and Its Application to Nonlinear Hyperbolic Boundary Value Problem as Application of Contraction Mapping Principle; 2.6.1 An Implicit Function Theorem for a Set of Mappings; 2.6.2 Notations and Preliminaries; 2.6.3 Results of Smiley on Linear Problem; 2.6.4 Alternative Problem and Approximate Equations 2.6.5 Application to Nonlinear Wave Equations - A Theorem of Paul Rabinowitz2.7 Set-Valued Contractions; 2.7.1 End Points; 2.8 Iterated Function Systems (IFS) and Attractor; 2.8.1 Applications; 2.9 Large Contractions; 2.9.1 Large Contractions; 2.9.2 The Transformation; 2.9.3 An Existence Theorem; 2.10 Random Fixed Point and Set-Valued Random Contraction; 3. Some Fixed Point Theorems in Partially Ordered Sets; 3.1 Fixed Point Theorems and Applications to Economics; 3.2 Fixed Point Theorem on Partially Ordered Sets; 3.3 Applications to Games and Economics; 3.3.1 Game; 3.3.2 Economy 3.3.3 Pareto Optimum3.3.4 The Contraction Mapping Principle in Uniform Space via Kleene's Fixed Point Theorem; 3.3.5 Applications on Double Ranked Sequence; 3.4 Lattice Theoretical Fixed Point Theorems of Tarski; 3.5 Applications of Lattice Fixed Point Theorem of Tarski to Integral Equations; 3.6 The Tarski-Kantorovitch Principle; 3.7 The Iterated Function Systems on (2X; ); 3.8 The Iterated Function Systems on (C(X); ); 3.9 The Iterated Function System on (K(X); ); 3.10 Continuity of Maps on Countably Compact and Sequential Spaces; 3.11 Solutions of Impulsive Differential Equations 3.11.1 A Comparison Result .3.11.2 Periodic Solutions; 4. Topological Fixed Point Theorems; 4.1 Brouwer Fixed Point Theorem; 4.1.1 Schauder Projection; 4.1.2 Fixed Point Theorems of Set Valued Mappings with Applications in Abstract Economy; 4.1.3 Applications; 4.1.4 Equilibrium Point of Abstract Economy; 4.2 Fixed Point Theorems and KKM Theorems; 4.2.1 Duality in Fixed Point Theory of Set Valued Mappings; 4.3 Applications on Minimax Principles; 4.3.1 Applications on Sets with Convex Sections; 4.4 More on Sets with Convex Sections 4.5 More on the Extension of KKM Theorem and Ky Fan's Minimax Principle |
| Record Nr. | UNINA-9910453204803321 |
Tarafdar Enayet U (Enayet Ullah)
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological methods for set-valued nonlinear analysis [[electronic resource] /] / Enayet U. Tarafdar & Mohammad S.R. Chowdhury
| Topological methods for set-valued nonlinear analysis [[electronic resource] /] / Enayet U. Tarafdar & Mohammad S.R. Chowdhury |
| Autore | Tarafdar Enayet U (Enayet Ullah) |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (627 p.) |
| Disciplina |
515
515.2 515/.2 |
| Altri autori (Persone) | ChowdhuryMohammad S. R <1959-> (Mohammad Showkat Rahim) |
| Soggetto topico |
Set-valued maps
Nonlinear functional analysis |
| ISBN |
1-281-93395-3
9786611933951 981-279-146-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Introduction; 2. Contraction Mappings; 2.1 Contraction Mapping Principle in Uniform Topological Spaces and Applications; 2.2 Banach Contraction Mapping Principle in Uniform Spaces; 2.2.1 Successive Approximation; 2.3 Further Generalization of Banach Contraction Mapping Principle; 2.3.1 Fixed Point Theorems for Some Extension of Contraction Mappings on Uniform Spaces; 2.3.2 An Interplay Between the Order and Pseudometric Partial Ordering in Complete Uniform Topological Space; 2.4 Changing Norm; 2.4.1 Changing the Norm; 2.4.2 On the Approximate Iteration
2.5 The Contraction Mapping Principle Applied to the Cauchy- Kowalevsky Theorem2.5.1 Geometric Preliminaries; 2.5.2 The Linear Problem; 2.5.3 The Quasilinear Problem; 2.6 An Implicit Function Theorem for a Set of Mappings and Its Application to Nonlinear Hyperbolic Boundary Value Problem as Application of Contraction Mapping Principle; 2.6.1 An Implicit Function Theorem for a Set of Mappings; 2.6.2 Notations and Preliminaries; 2.6.3 Results of Smiley on Linear Problem; 2.6.4 Alternative Problem and Approximate Equations 2.6.5 Application to Nonlinear Wave Equations - A Theorem of Paul Rabinowitz2.7 Set-Valued Contractions; 2.7.1 End Points; 2.8 Iterated Function Systems (IFS) and Attractor; 2.8.1 Applications; 2.9 Large Contractions; 2.9.1 Large Contractions; 2.9.2 The Transformation; 2.9.3 An Existence Theorem; 2.10 Random Fixed Point and Set-Valued Random Contraction; 3. Some Fixed Point Theorems in Partially Ordered Sets; 3.1 Fixed Point Theorems and Applications to Economics; 3.2 Fixed Point Theorem on Partially Ordered Sets; 3.3 Applications to Games and Economics; 3.3.1 Game; 3.3.2 Economy 3.3.3 Pareto Optimum3.3.4 The Contraction Mapping Principle in Uniform Space via Kleene's Fixed Point Theorem; 3.3.5 Applications on Double Ranked Sequence; 3.4 Lattice Theoretical Fixed Point Theorems of Tarski; 3.5 Applications of Lattice Fixed Point Theorem of Tarski to Integral Equations; 3.6 The Tarski-Kantorovitch Principle; 3.7 The Iterated Function Systems on (2X; ); 3.8 The Iterated Function Systems on (C(X); ); 3.9 The Iterated Function System on (K(X); ); 3.10 Continuity of Maps on Countably Compact and Sequential Spaces; 3.11 Solutions of Impulsive Differential Equations 3.11.1 A Comparison Result .3.11.2 Periodic Solutions; 4. Topological Fixed Point Theorems; 4.1 Brouwer Fixed Point Theorem; 4.1.1 Schauder Projection; 4.1.2 Fixed Point Theorems of Set Valued Mappings with Applications in Abstract Economy; 4.1.3 Applications; 4.1.4 Equilibrium Point of Abstract Economy; 4.2 Fixed Point Theorems and KKM Theorems; 4.2.1 Duality in Fixed Point Theory of Set Valued Mappings; 4.3 Applications on Minimax Principles; 4.3.1 Applications on Sets with Convex Sections; 4.4 More on Sets with Convex Sections 4.5 More on the Extension of KKM Theorem and Ky Fan's Minimax Principle |
| Record Nr. | UNINA-9910782271603321 |
|
Tarafdar Enayet U (Enayet Ullah)
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Topological methods for set-valued nonlinear analysis / / Enayet U. Tarafdar & Mohammad S.R. Chowdhury
| Topological methods for set-valued nonlinear analysis / / Enayet U. Tarafdar & Mohammad S.R. Chowdhury |
| Autore | Tarafdar Enayet U (Enayet Ullah) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (627 p.) |
| Disciplina |
515
515.2 515/.2 |
| Altri autori (Persone) | ChowdhuryMohammad S. R <1959-> (Mohammad Showkat Rahim) |
| Soggetto topico |
Set-valued maps
Nonlinear functional analysis |
| ISBN |
1-281-93395-3
9786611933951 981-279-146-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Introduction; 2. Contraction Mappings; 2.1 Contraction Mapping Principle in Uniform Topological Spaces and Applications; 2.2 Banach Contraction Mapping Principle in Uniform Spaces; 2.2.1 Successive Approximation; 2.3 Further Generalization of Banach Contraction Mapping Principle; 2.3.1 Fixed Point Theorems for Some Extension of Contraction Mappings on Uniform Spaces; 2.3.2 An Interplay Between the Order and Pseudometric Partial Ordering in Complete Uniform Topological Space; 2.4 Changing Norm; 2.4.1 Changing the Norm; 2.4.2 On the Approximate Iteration
2.5 The Contraction Mapping Principle Applied to the Cauchy- Kowalevsky Theorem2.5.1 Geometric Preliminaries; 2.5.2 The Linear Problem; 2.5.3 The Quasilinear Problem; 2.6 An Implicit Function Theorem for a Set of Mappings and Its Application to Nonlinear Hyperbolic Boundary Value Problem as Application of Contraction Mapping Principle; 2.6.1 An Implicit Function Theorem for a Set of Mappings; 2.6.2 Notations and Preliminaries; 2.6.3 Results of Smiley on Linear Problem; 2.6.4 Alternative Problem and Approximate Equations 2.6.5 Application to Nonlinear Wave Equations - A Theorem of Paul Rabinowitz2.7 Set-Valued Contractions; 2.7.1 End Points; 2.8 Iterated Function Systems (IFS) and Attractor; 2.8.1 Applications; 2.9 Large Contractions; 2.9.1 Large Contractions; 2.9.2 The Transformation; 2.9.3 An Existence Theorem; 2.10 Random Fixed Point and Set-Valued Random Contraction; 3. Some Fixed Point Theorems in Partially Ordered Sets; 3.1 Fixed Point Theorems and Applications to Economics; 3.2 Fixed Point Theorem on Partially Ordered Sets; 3.3 Applications to Games and Economics; 3.3.1 Game; 3.3.2 Economy 3.3.3 Pareto Optimum3.3.4 The Contraction Mapping Principle in Uniform Space via Kleene's Fixed Point Theorem; 3.3.5 Applications on Double Ranked Sequence; 3.4 Lattice Theoretical Fixed Point Theorems of Tarski; 3.5 Applications of Lattice Fixed Point Theorem of Tarski to Integral Equations; 3.6 The Tarski-Kantorovitch Principle; 3.7 The Iterated Function Systems on (2X; ); 3.8 The Iterated Function Systems on (C(X); ); 3.9 The Iterated Function System on (K(X); ); 3.10 Continuity of Maps on Countably Compact and Sequential Spaces; 3.11 Solutions of Impulsive Differential Equations 3.11.1 A Comparison Result .3.11.2 Periodic Solutions; 4. Topological Fixed Point Theorems; 4.1 Brouwer Fixed Point Theorem; 4.1.1 Schauder Projection; 4.1.2 Fixed Point Theorems of Set Valued Mappings with Applications in Abstract Economy; 4.1.3 Applications; 4.1.4 Equilibrium Point of Abstract Economy; 4.2 Fixed Point Theorems and KKM Theorems; 4.2.1 Duality in Fixed Point Theory of Set Valued Mappings; 4.3 Applications on Minimax Principles; 4.3.1 Applications on Sets with Convex Sections; 4.4 More on Sets with Convex Sections 4.5 More on the Extension of KKM Theorem and Ky Fan's Minimax Principle |
| Record Nr. | UNINA-9910814709403321 |
|
Tarafdar Enayet U (Enayet Ullah)
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||