Advanced Mathematical Analysis and its Applications

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.

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.

Pradip Debnath is an Assistant Professor (in Mathematics) at the Department of Applied Science and Humanities, Assam University, India. He earned his Ph.D. in Mathematics from the National Institute of Technology Silchar, India. His research interests include fixed point theory, nonlinear functional analysis, soft computing and mathematical statistics.

He has published more than 60 papers in various journals of international repute and is an active reviewer for more than 50 international journals. He is also a reviewer for Mathematical Reviews published by the American Mathematical Society. He is the Lead Editor of the books Metric Fixed Point Theory - Applications in Science, Engineering and Behavioural Sciences (Springer Nature, 2021), Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences (CRC Press, 2021), Fixed Point Theory and Fractional Calculus: Recent Advances and Applications (Springer Nature, 2022), Soft Computing: Recent Advances and Applications in Engineering and Mathematical Sciences (CRC Press, 2023) and Advances in Number Theory and Applied Analysis (World Scientific, 2023). He is a topical advisory panel member of the journals “Axioms” and “Fractal and Fractional” and guest editor of several special issues for different journals.

He has successfully guided Ph.D. students in the areas of nonlinear analysis, soft computing and fixed point theory. He has recently completed a major Basic Science Research Project in fixed point theory funded by the UGC, the Government of India. Having been an academic gold medalist during his post-graduation studies from Assam University, Silchar, Dr. Debnath has qualified several national-level examinations in mathematics in India.

Delfim Fernando Marado Torres is a Portuguese Mathematician born 16 August 1971 in Mozambique. He obtained a PhD in Mathematics from the University of Aveiro (UA) in 2002, and habilitati