University Sétif 1 FERHAT ABBAS Faculty of Sciences
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Auteur Aimen abdennour Abed |
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Titre : Dolcher’s fixed point theorem on Compressive- Expansive mappings Type de document : texte imprimé Auteurs : Aimen abdennour Abed, Auteur ; Nourreddine Daili, Directeur de thèse Editeur : Sétif:UFA1 Année de publication : 2025 Importance : 1 vol (24 f.) Format : 29 cm Langues : Anglais (eng) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Dolcher's
Fixed point theorem
Theorems
Compressive mappings
Expansive mappingsIndex. décimale : 510-Mathématique Résumé : This thesis is composed in three chapters, first one deals with the fixed point theorems, we stated some of the fixed point theorems and discussed the hypothesis of each one, then on the second we talked about the mappings and characteristics of each mappings like the compressive and expansive mappings, at last, the third chapter dealt with dolcher's fixed point theorem and we stated the hypothesis that make the dolcher fixed point sharp with accompany of an example. Note de contenu : Table of Content
Introduction
1-Fixed Point Theorems
1.1 Introduction 1
1.2 Notations and denitions 1
2-Fixed Point Theorems for Expansive-Compressive Mappings 4
2.1 Introduction 4
2.2 Expansive-Contractive Maps in Euclidean Spaces 4
2.3 Search for Fixed Point in Expansive and Compressive Mappings 6
3-Dolcher’s Fixed Point Theorem 11
3.1 Introduction 11
3.2 Classical Fixed Point Theorems 11
3.3 Dolcher Fixed Point Theorem 12
3.4 Application on Dolcher’s Fixed Point Theorem 16
Conclusion and perspective 22
Bibliography 23Côte titre : MAM/0765 Dolcher’s fixed point theorem on Compressive- Expansive mappings [texte imprimé] / Aimen abdennour Abed, Auteur ; Nourreddine Daili, Directeur de thèse . - [S.l.] : Sétif:UFA1, 2025 . - 1 vol (24 f.) ; 29 cm.
Langues : Anglais (eng)
Catégories : Thèses & Mémoires:Mathématique Mots-clés : Dolcher's
Fixed point theorem
Theorems
Compressive mappings
Expansive mappingsIndex. décimale : 510-Mathématique Résumé : This thesis is composed in three chapters, first one deals with the fixed point theorems, we stated some of the fixed point theorems and discussed the hypothesis of each one, then on the second we talked about the mappings and characteristics of each mappings like the compressive and expansive mappings, at last, the third chapter dealt with dolcher's fixed point theorem and we stated the hypothesis that make the dolcher fixed point sharp with accompany of an example. Note de contenu : Table of Content
Introduction
1-Fixed Point Theorems
1.1 Introduction 1
1.2 Notations and denitions 1
2-Fixed Point Theorems for Expansive-Compressive Mappings 4
2.1 Introduction 4
2.2 Expansive-Contractive Maps in Euclidean Spaces 4
2.3 Search for Fixed Point in Expansive and Compressive Mappings 6
3-Dolcher’s Fixed Point Theorem 11
3.1 Introduction 11
3.2 Classical Fixed Point Theorems 11
3.3 Dolcher Fixed Point Theorem 12
3.4 Application on Dolcher’s Fixed Point Theorem 16
Conclusion and perspective 22
Bibliography 23Côte titre : MAM/0765 Exemplaires (1)
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