Mathematical Analysis: Theory and Applications

This book provides an overview of the most up-to-date developments in the field, presenting original contributions and surveys from a spectrum of respected academics in Mathematical Analysis. Each chapter highlights new research directions, making this book suitable for graduate students, faculty, and researchers.

Pradip Debnath is an Associate Professor in the Department of Mathematical Sciences at Tezpur University, India. He featured in the World's Top 2% Scientists list prepared by Stanford University and published by Elsevier in the successive years 2023 and 2024. He is also an Associate Editor of the journal Heliyon (mathematics section), published by Elsevier. He was previously an Assistant Professor (in mathematics) at the Department of Applied Science and Humanities, Assam University, Silchar (a central university), India. Prior to that, he worked as an Assistant Professor in the Department of Mathematics at the North Eastern Regional Institute of Science and Technology (NERIST), India.

He earned his Ph.D. in Mathematics from the National Institute of Technology Silchar, India. His research interests include fixed point theory, 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 65 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 (2021, Springer Nature), Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences (2021, CRC Press), Fixed Point Theory and Fractional Calculus: Recent Advances and Applications (2022, Springer Nature), Soft Computing: Recent Advances and Applications in Engineering and Mathematical Sciences (2023, CRC Press), Advanced Mathematical Analysis and Its Applications (2023, CRC Press), Advances in Number Theory and Applied Analysis (2023, World Scientific), and several others.

He is a topical advisory panel member of the journals Axioms and Fractal and Fractional and a 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 at Assam University, Silchar, Dr. Debnath has qualified for several national-level examinations in mathematics in India.

Hari M. Srivastava is Professor Emeritus at the Department of Mathematics and Statistics, University of Victoria, Canada. He has been a Clarivate Analytics (Thomson-Reuters) Highly Cited Researcher for the years 2015, 2017, 2018, and 2020. He has also been listed and ranked in sixth place in General Mathematics among the Top 2% Scientists in the World 2021 (published by Stanford University in the US). In fact, it is not possible to list all of his tremendous academic achievements in just a few sentences. The details of the same may be found on his regularly updated website www.math.uvic.ca/harimsri/.

Delfim Fernando Marado Torres earned a Ph.D. in Mathematics from the University of Aveiro (UA), Portugal, in 2002, and habilitation in Mathematics, UA, in 2011. He has been a full professor of mathematics since 9 March 2015. He has been the Director of the R&D Unit CIDMA, the largest Portuguese research center for mathematics, and Coordinator of its Systems and Control Group. His main research areas are calculus of variations and optimal control; optimization; fractional derivatives and integrals; dynamic equations on time scales; and mathematical biology. Torres has written outstanding scientific and pedagogical publications. In particular, he is the author of two books published by Imperial College Press, three books published by Springer, and is the editor of several other books. Professor Torres has been recognized four times as one of the top 1% of mathematicians on the prestigious global Clarivate Web of Science list and is the only Portuguese mathematician to be so honored. He has strong experience in graduate and post-graduate student supervision and teaching mathematics. He has supervised 27 Ph.D. students in mathematics. Moreover, he has been the leading member in several national and international R&D projects, including EU projects and networks. Since 2013, Professor Torres has been the Director of the Doctoral Programme Consortium in Mathematics and Applications (MAP-PDMA) of the Universities of Minho, Aveiro, and Porto, Portugal.

Yeol Je Cho is Emeritus Professor at the Department of Mathematics Education, Gyeongsang National University, Jinju, Korea, and Distinguished Professor at the School of Mathematical Sciences, the University of Electronic Science and Technology of China, Chengdu, Sichuan, China. In 1984, he earned his Ph.D. in Mathematics from Pusan National University, Pusan, Korea. He has been a fellow of the Korean Academy of Science and Technology, Seoul, Korea, since 2006, and a member of several mathematical societies. He has organized international conferences on nonlinear functional analysis and applications, fixed point theory and applications, and workshops and symposiums on nonlinear analysis and applications. He has published over 400 papers, 20 monographs, and 12 books with renowned publishers from around the world. His research areas are nonlinear analysis and applications, especially fixed-point theory and applications, and some kinds of nonlinear problems, that is, equilibrium problems, variational inequality problems, saddle point problems, optimization problems, inequality theory and applications, and stability of functional equations and applications. He has delivered several invited talks at international conferences on nonlinear analysis and applications and is on the editorial boards of ten international journals of mathematics.