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Full Description
Advanced Mathematical Analysis and its Applications presents state-of-the-art developments in mathematical analysis through new and original contributions and surveys, with a particular emphasis on applications in engineering and mathematical sciences. New research directions are indicated in each of the chapters, and while this book is meant primarily for graduate students, there is content that will be equally useful and stimulating for faculty and researchers.
The readers of this book will require minimum knowledge of real, complex, and functional analysis, and topology.
Features
Suitable as a reference for graduate students, researchers, and faculty
Contains the most up-to-date developments at the time of writing.
Contents
1. Generalized Boyd-Wong type Contractions. 2. Remarks on the Metatheorem. 3. On Wardowski Type Results within G-Metric Spaces. 4. Some New Fixed-Point Results in Archimedean Type Intuitionistic Fuzzy B-Metric Space. 5. Fixed point Theorems for Quasi Upper Semicontinuous Set-Valued Mappings in p-Vector Spaces. 6. Proinov E_S-contraction Type Unique and Non-Unique Fixed-Point Results on S-metric Spaces. 7. η_A-admissible Mappings for Four Maps in C*-algebra-valued MP-metric Spaces with an Application. 8. Summarized Proofs to Find Common Fixed Points of Presic Contractions for Four Maps. 9. Fixed Point Method: Ulam Stability of Mixed Type Functional Equation in β-Banach Modules. 10. Hybrid Steepest Descent Methods for Solving Variational Inequalities with Fixed Point Constraints in a Hilbert Space: An Annotated Bibliography. 11. Generalized Kannan Maps with Application to Iterated Function System. 12. Stability Analysis of Lotka-Volterra Models: Continuous, Discrete, and Fractional. 13. Existence and Uniqueness of Solutions to Proper Fractional Riemann-Liouville Initial Value Problems on Time Scales. 14. Ostrowski type Inequalities for Conformable Fractional Calculus via a Parameter. 15. The Regional Observability Problem for a Class of Semilinear Time-Fractional Systems with with Riemann-Liouville Derivative. 16. Construction of Fractional Extended Nabla Operator and Strong Convergence Analysis. 17. Stability Analysis of Fractional Nonlinear Dynamical Systems. 18. On Periodic Dirichlet Series and Special Functions. 19. The Lotka-Volterra Dynamical System and its Discretization. 20. A New Inertial Projection Algorithm for Solving Pseudomonotone Equilibrium Problems. 21. Convergence Analysis of a Relaxed Inertial Alternating Minimization Algorithm with Applications. 22. Ball Convergence of Iterative Methods without Derivatives with or without Memory Relying on the Weight Operator Technique. 23. Inner Product Generalized Trapezoid type Inequalities in Hilbert Spaces. 24. A Note on Degenerate Gamma Random Variables. 25. Dynamical Systems on Free Random Variables followed by the Semicircular Law.
