Mathematical Analysis

Theory and Applications
1. Auflage 2024
ISBN: 978-1-032-86244-6
Verlag: CRC Press

Buch, Englisch, 394 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 735 g

Mathematical Analysis: Theory and Applications provides an overview of the most up-to-date developments in the field, presenting original contributions and surveys from a spectrum of respected academics. Readers will discover numerous valuable tools and techniques to enhance their understanding of recent advancements in mathematical analysis and its applications. Each chapter highlights new research directions, making this book suitable for graduate students, faculty, and researchers with an active interest in the development of mathematical analysis and its practical implementation. Minimal prerequisites in analysis, topology, and functional analysis are required for readers to fully benefit from the content.

Features

- Showcases the latest advancements in these areas by featuring contributions from distinguished scientists and mathematicians from around the world

- Suitable as a reference for postgraduate students and researchers

- Explores future research directions

Zielgruppe

Academic and Postgraduate

Autoren/Hrsg.

Debnath, Pradip

Srivastava, H M

Torres, Delfim F M

Cho, Yeol Je

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

1. Fixed Point Theory: Recent developments, Challenges and Open Problems
Pradip Debnath

2. Several recent episodes on the metric completeness
Sehie Park

3. Fixed point theorems in p-normed spaces
George Xianzhi Yuan and Jian-Zhong Xiao

4. New versions of Kannan type map
Nihal Tas

5. Some applications of a Kittaneh inequality to operator-valued integrals on Hilbert Spaces
Sever Dragomir

6. Frozen derivative iterative methods of high order for equations
Ioannis K. Argyros and Gagan Deep

7. Application of some classes of Mittag-Leffler functions in solving conformal fractional differential equations
Arsalan Hojat Ansari, Snjezana Maksimovic, Hossam A. Nabwey, and Zoran D. Mitrovic

8. The non-population conserving SIR model on time scales
Zahra Belarbi, Benaoumeur Bayour, and Delfim F. M. Torres

9. Stability criteria of nonlinear generalized proportional fractional delayed systems
Hanaa Zitane and Delfim F. M. Torres

10. On the Hamburger-Oberhettinger-Soni modular relations
Kalyan Chakraborty, Shigeru Kanemitsu, and L. -W. Yu

11. Extended and efficient secant-type methods based on generalized Schmidt-Schwetlick conditions
Ioannis K. Argyros, Jinny Ann John, and Jayakumar Jayaraman

12. Summation of Schlomilch-type series
Slobodan B. Trickovic and Miomir S. Stankovic

13. Cross diffusion driven instability and non-linear analysis in a spatio-temporal oncolytic therapeutic model
Fatiha Najm, Radouane Yafia, and M. A. Aziz Alaoui

14. From metric spaces to O-metric spaces: Generalizing the metrical triangle inequality
Hallowed O. Olaoluwa, Aminat O. Ige, and Johnson O. Olaleru

15. Stability analysis of a diffusive SVIR epidemic model with distributed delay, imperfect vaccine and general incidence rate
Achraf Zinihi, Mostafa Tahiri, Moulay Rchid Sidi Ammi

16. Gauss-Newton methods for convex composite optimization under generalized continuity conditions
Ioannis K. Argyros, Santosh George, and Michael Argyros

Über Autor(innen)

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.