Advanced Mathematical Analysis and its Applications

Pradip Debnath, Delfim F. M. Torres, Yeol Je Cho, Pradip Debnath, Delfim F. M. Torres, Yeol Je Cho

• Publisher: Chapman and Hall/CRC
• Year: 2023
• ISBN:
  9781000967326
• Edition: 1
• Topic: Mathematics
• Subtopic: Mathematical Analysis
• Index: Mathematics

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.

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Table of Contents
• Preface
• Editor Biographies
• List of Contributors
• Chapter 1 ◾ Generalized Boyd-Wong-Type Contractions and Related Fixed-Figure Results
• Chapter 2 ◾ Remarks on the Metatheorem in Ordered Fixed Point Theory
• Chapter 3 ◾ On Wardowski Type Results in the Framework of G-Metric Spaces
• Chapter 4 ◾ Some New Fixed Point Results in Archimedean Type Intuitionistic Fuzzy b-Metric Space
• Chapter 5 ◾ Fixed Point Theorems for Quasi Upper Semicontinuous Set-valued Mappings in p-Vector and Locally p-Convex Spaces
• Chapter 6 ◾ Proinov ES-Contraction Type Unique and Non-Unique Fixed-Point Results on S-Metric Spaces
• Chapter 7 ◾ η𝒜 -Admissible Mappings for Four Maps in C*-Algebra-Valued ℳ𝒫-Metric Spaces with an Application
• Chapter 8 ◾ Summarized Proofs to Find Common Fixed Points of Prešić Contractions for Four Maps
• Chapter 9 ◾ Fixed Point Method: Ulam Stability of Mixed Type Functional Equation in β-Banach Modules
• Chapter 10 ◾ Hybrid Steepest Descent Methods for Solving Variational Inequalities with Fixed Point Constraints in a Hilbert Space: An Annotated Bibliography
• Chapter 11 ◾ Generalized Kannan Maps with Application to Iterated Function System
• Chapter 12 ◾ Stability Analysis of Lotka-Volterra Models: Continuous, Discrete and Fractional
• Chapter 13 ◾ Existence and Uniqueness of Solutions to Proper Fractional Riemann-Liouville Initial Value Problems on Time Scales
• Chapter 14 ◾ Ostrowski Type Inequalities for Conformable Fractional Calculus via a Parameter
• Chapter 15 ◾ The Regional Observability Problem for a Class of Semilinear Time-Fractional Systems With Riemann-Liouville Derivative
• Chapter 16 ◾ Construction of Fractional Extended Nabla Operator and Strong Convergence Analysis
• Chapter 17 ◾ Stability Analysis of Fractional Nonlinear Dynamical Systems
• Chapter 18 ◾ On Periodic Dirichlet Series and Special Functions
• Chapter 19 ◾ The Lotka-Volterra Dynamical System and Its Discretization
• Chapter 20 ◾ A New Inertial Projection Algorithm for Solving Pseudomonotone Equilibrium Problems
• Chapter 21 ◾ Convergence Analysis of a Relaxed Inertial Alternating Minimization Algorithm with Applications
• Chapter 22 ◾ Ball Convergence of Iterative Methods without Derivatives with or without Memory Relying on the Weight Operator Technique
• Chapter 23 ◾ Inner Product Generalized Trapezoid Type Inequalities in Hilbert Spaces
• Chapter 24 ◾ A Note on Degenerate Gamma Random Variables
• Chapter 25 ◾ Dynamical Systems on Free Random Variables Followed by the Semicircular Law
• Index