Fixed point theory in metric spaces : recent advances and applications /: recent advances and applications. (2018)

• Record Type: Book
• Further Information: Note: Praveen Agarwal, Mohamed Jleli and Bessem Samet.
• Authors: Agarwal, Praveen; Jleli, Mohamed; Samet, Bessem
• Contents: Intro; Preface; References; Contents; About the Authors; 1 Banach Contraction Principle and Applications; 1.1 Introduction; 1.2 Banach Contraction Principle; 1.3 The Converse of Banach Contraction Principle; 1.3.1 A Technical Lemma; 1.3.2 Proof of Part (b) of Theorem 1.2; 1.4 Some Applications; 1.4.1 Solvability of a Mixed Volterra-Fredholm-Type Integral Equation; 1.4.2 Solving Systems of Nonlinear Matrix Equations Involving Lipschitzian Mappings; References; 2 On Ran-Reurings Fixed Point Theorem; 2.1 Preliminaries; 2.2 Ran-Reurings Fixed Point Theorem 6.3.3 The Case of Cyclic MappingsReferences; 7 On Fixed Points That Belong to the Zero Set of a Certain Function; 7.1 Partial Metric Spaces; 7.2 Three Open Questions of I.A. Rus; 7.3 The Class of Extended Simulation Functions; 7.4 -Admissibility Results; 7.5 Some Consequences; 7.5.1 Fixed Point Results in Partial Metric Spaces via Extended Simulation Functions; 7.5.2 Fixed Point Results in Metric Spaces via Extended Simulation Functions; References; 8 A Coupled Fixed Point Problem Under a Finite Number of Equality Constraints; 8.1 Preliminaries; 8.2 Main Results 8.2.1 A Coupled Fixed Point Problem Under One Equality Constraint8.2.2 A Coupled Fixed Point Problem Under Two Equality Constraints; 8.2.3 A Coupled Fixed Point Problem Under r Equality Constraints; 8.3 Some Consequences; 8.3.1 A Fixed Point Problem Under Symmetric Equality Constraints; 8.3.2 A Common Coupled Fixed Point Result; 8.3.3 A Fixed Point Result; References; 9 JS-Metric Spaces and Fixed Point Results; 9.1 Introduction; 9.2 JS-Metric Spaces; 9.2.1 General Definition; 9.2.2 Topological Concepts; 9.2.3 Examples; 9.3 Banach Contraction Principle in JS-Metric Spaces
• Publisher Details: Singapore : Springer
• Publication Date: 2018
• Extent: 1 online resource, illustrations
• Subjects: 515.7248; Mathematics; Fixed point theory; Metric spaces; MATHEMATICS / Calculus; MATHEMATICS / Mathematical Analysis; Mathematics -- Mathematical Analysis; Mathematics -- Functional Analysis; Complex analysis, complex variables; Differential calculus & equations; Functional analysis & transforms; Integral calculus & equations; Functional analysis; Harmonic analysis; Functional equations; Operator theory; Integral equations; Electronic books
• Languages: English
• ISBNs: 9789811329135; 9811329133
• Related ISBNs: 9789811329128
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, viewed October 17, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.