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ABOUT THE BOOK

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

Chapter 1. Generalized Boyd-Wong type Contractions
Pradip Debnath

Chapter 2. Remarks on the Metatheorem
Sehie Park

Chapter 3. On Wardowski Type Results within G-Metric Spaces
Jelena Vujakovic, Slobodanka Mitrovic, Zoran Mitrovic, Stojan Radenovic

Chapter 4. Some New Fixed-Point Results in Archimedean Type Intuitionistic Fuzzy B-Metric Space
Nabanita Konwar

Chapter 5. Fixed point Theorems for Quasi Upper Semicontinuous Set-Valued Mappings in p-Vector Spaces
Shin-sen Chang, Yeol Je Cho, Sehie Park, George Xianzhi Yuan

Chapter 6. Proinov E_S-contraction Type Unique and Non-Unique Fixed-Point Results on S-metric Spaces
Nihal Tas

Chapter 7. η_A-admissible Mappings for Four Maps in C*-algebra-valued MP-metric Spaces with an Application
Samira Hadi Bonab, Vahid Parvaneh, Zohreh Bagheri

Chapter 8. Summarized Proofs to Find Common Fixed Points of Presic Contractions for Four Maps
Samira Hadi Bonab, Vahid Parvaneh, Zohreh Bagheri

Chapter 9. Fixed Point Method: Ulam Stability of Mixed Type Functional Equation in β-Banach Modules
K. Tamilvanan, N. Revathi, S. A. Mohiuddine

Chapter 10. Hybrid Steepest Descent Methods for Solving Variational Inequalities with Fixed Point Constraints in a Hilbert Space: An Annotated Bibliography
Mootta Prangprakhom, Nimit Nimana

Chapter 11. Generalized Kannan Maps with Application to Iterated Function System
B. V. Prithvi, S. K. Katiyar

Chapter 12. Stability Analysis of Lotka-Volterra Models: Continuous, Discrete, and Fractional
Sandra Vaz, Delfim F. M. Torres

Chapter 13. Existence and Uniqueness of Solutions to Proper Fractional Riemann-Liouville Initial Value Problems on Time Scales
Nedjoua Zine, Benaoumeur Bayour, Delfim F. M. Torres

Chapter 14. Ostrowski type Inequalities for Conformable Fractional Calculus via a Parameter
Miguel Vivas-Cortez, Seth Kermausuor, Juan E. Napoles Valdes

Chapter 15. The Regional Observability Problem for a Class of Semilinear Time-Fractional Systems with with Riemann-Liouville Derivative
Zguaid Khalid, El Alaoui Fatima-Zahrae

Chapter 16. Construction of Fractional Extended Nabla Operator and Strong Convergence Analysis
Leila Khitri-Kazi-Tani, Hacen Dib

Chapter 17. Stability Analysis of Fractional Nonlinear Dynamical Systems
Priyadharsini Sivaraj

Chapter 18. On Periodic Dirichlet Series and Special Functions
Jay Mehta, Imre Katai, Shigeru Kanemitsu

Chapter 19. The Lotka-Volterra Dynamical System and its Discretization
Marcia Lemos-Silva, Delfim F. M. Torres

Chapter 20. A New Inertial Projection Algorithm for Solving Pseudomonotone Equilibrium Problems
Tran Van Thang, Le Dung Muu

Chapter 21. Convergence Analysis of a Relaxed Inertial Alternating Minimization Algorithm with Applications
Yuchao Tang, Yang Yang, Jigen Peng

Chapter 22. Ball Convergence of Iterative Methods without Derivatives with or without Memory Relying on the Weight Operator Technique
Ioannis K. Argyros, Santhosh George, Christopher Argyros

Chapter 23. Inner Product Generalized Trapezoid type Inequalities in Hilbert Spaces
Silvestru Sever Dragomir

Chapter 24. A Note on Degenerate Gamma Random Variables
Taekyun Kim, Dae San Kim, Jongkyum Kwon, Hyunseok Lee

Chapter 25. Dynamical Systems on Free Random Variables followed by the Semicircular Law
Ilwoo Cho