Lights and Shadows on Generalizations in Fixed Point Theory

Fixed point theory is a powerful tool in nonlinear analysis, with applications in fractional differential equations and other areas. The book examines the classical techniques of this theory with a critical approach, along with the emergence of various generalizations in its evolution.

List of contents

Preface. Introduction. Orders, cones and graphs. Metric structures. Some modern fixed point results. Fixed point results for set-valued mappings. Some types of ¿-¿-contractive set-valued mappings. Quasi-contractions and T-stability. Some false results on rate of convergence. Some false generalizations. References.

About the author

Prof Shahram Rezapour, is full professor of mathematics at Azarbaijan Shahid Madani University (Iran), and visiting professor at China Medical University, Taichung, Taiwan. He also had an eminent scholarship position at Kyung Hee University, Seoul, Republic of Korea in 2023. His name appeared on the list of Highly Cited Researchers in 2016, 2017 and 2021. He published more than 400 papers and some books during the years 2002-2024. His works are in different areas of mathematics including functional analysis, approximation theory, fixed point theory, fractional calculus, finite difference equations, numerical analysis, inclusion problems, biomathematics and modeling theory.

Summary

Fixed point theory is a powerful tool in nonlinear analysis, with applications in fractional differential equations and other areas. The book examines the classical techniques of this theory with a critical approach, along with the emergence of various generalizations in its evolution.

Product details

• Authors: Shahram Rezapour, Shahram (Dicle University Rezapour
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 14.11.2024
• EAN: 9781032663128
• ISBN: 978-1-0-3266312-8
• No. of pages: 320
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, MATHEMATICS / Geometry / General, MATHEMATICS / Functional Analysis, MATHEMATICS / Discrete Mathematics, geometry, Discrete Mathematics, Differential calculus & equations, Applied mathematics, Functional analysis & transforms, Functional analysis and transforms, Differential calculus and equations