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Full Description
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
Contents
1. Fixed Point Theory: Recent developments, Challenges and Open Problems
Pradip Debnath
2. Several recent episodes on the metric completeness
Sehie Park3. Fixed point theorems in p-normed spaces
George Xianzhi Yuan and Jian-Zhong Xiao4. New versions of Kannan type map
Nihal Tas5. Some applications of a Kittaneh inequality to operator-valued integrals on Hilbert Spaces
Sever Dragomir6. Frozen derivative iterative methods of high order for equations
Ioannis K. Argyros and Gagan Deep7. 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. Mitrovic8. The non-population conserving SIR model on time scales
Zahra Belarbi, Benaoumeur Bayour, and Delfim F. M. Torres9. Stability criteria of nonlinear generalized proportional fractional delayed systems
Hanaa Zitane and Delfim F. M. Torres10. On the Hamburger-Oberhettinger-Soni modular relations
Kalyan Chakraborty, Shigeru Kanemitsu, and L. -W. Yu11. Extended and efficient secant-type methods based on generalized Schmidt-Schwetlick conditions
Ioannis K. Argyros, Jinny Ann John, and Jayakumar Jayaraman12. Summation of Schlomilch-type series
Slobodan B. Trickovic and Miomir S. Stankovic13. 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 Ammi16. Gauss-Newton methods for convex composite optimization under generalized continuity conditions
Ioannis K. Argyros, Santosh George, and Michael Argyros
