Fuzzy operator theory in mathematical analysis. (2018)

• Record Type: Book
• Further Information: Note: Yeol Je Cho, Themistocles M. Rassias, Reza Saadati.
• Authors: Cho, Yeol Je; Rassias, Themistocles M, 1951-; Saadati, Reza
• Contents: Intro; Preface; Acknowledgments; Contents; Acronyms; 1 Preliminaries; 1.1 Triangular Norms; 1.2 Fuzzy Sets; 1.3 Triangular Norms on Lattices; 2 Fuzzy Normed Spaces and Fuzzy Metric Spaces; 2.1 Fuzzy Normed Spaces; 2.2 Fuzzy Topological Structures; 2.3 Non-Archimedean Fuzzy Normed Spaces; 2.4 Intuitionistic Fuzzy Inner Product Spaces; 2.4.1 Basic Properties and Results; 2.4.2 Orthogonality; 3 Further Properties of Fuzzy Banach Spaces; 3.1 Finite Dimensional Fuzzy Banach Spaces; 3.2 Fuzzy Quotient Spaces; 3.3 Linear Operators; 3.3.1 Bounded and Continuous Linear Operators 3.4 Fuzzy Compact Operators3.4.1 Fuzzy Norms of Operators; 3.4.2 Fuzzy Operator Spaces; 3.5 Compact Operators; 4 Fundamental Theorems in Fuzzy Normed Spaces; 4.1 Open Mapping Theorem; 4.2 Closed Graph Theorem; 5 Fixed Point Theorems in Fuzzy Metric Spaces; 5.1 Fixed Point Theorems for Weak Compatible Mappings; 5.2 R-Weakly Commuting Mappings in Intuitionistic Fuzzy Metric Spaces; 5.3 Common Fixed Point Theorems for Six Mappings in Three Fuzzy Metric Spaces; 5.4 Jungck's Theorem in L-Fuzzy Metric Spaces; 5.5 Hyper L-Fuzzy Metric Spaces 5.5.1 Banach's Fixed Point Theorem in MHL-Fuzzy Metric Spaces5.5.2 Kannan's Fixed Point Theorem in MHL-Fuzzy Metric Spaces; 5.6 Applications of Fixed Point Theorems in Intuitionistic Fuzzy Quasi-Metric Spaces; 5.6.1 Banach's Fixed Point Theorem in Intuitionistic Fuzzy Quasi-Metric Spaces; 5.6.2 G-Bicompleteness in Non-Archimedean Intuitionistic Fuzzy Quasi-Metric Spaces; 5.6.3 Applications to the Domain of Words; 5.7 Gauge Functions and Fixed Point Theorems; 5.8 Common Point Theorems in Fuzzy Metric Spaces Using the CLRg-Property; 5.8.1 Auxiliary Results
• Publisher Details: Cham : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 511.3/223; Mathematics; Fuzzy logic; Operator theory; Mathematical analysis; MATHEMATICS / General; Fuzzy logic; Mathematical analysis; Operator theory; Mathematics -- Functional Analysis; Functional analysis & transforms; Functional analysis; Electronic books
• Languages: English
• ISBNs: 9783319935010; 3319935011
• Related ISBNs: 9783319934990; 3319934996
• Notes: Note: Online resource; title from PDF title page (EBSCO, viewed August 15, 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.