Lights and Shadows on Generalizations in Fixed Point Theory
1st Edition
Published on 14. November 2024
332 pages
978-1-040-27169-8 (ISBN)
Description
Fixed point theory is a powerful tool in nonlinear analysis, with applications in fractional differential equations and other areas. The most prominent application/conclusion of this theory is the Banach contraction principal. The notion of invisible graphs, introduced here for the first time, will find applications in different areas of science.
The book examines the classical techniques of this theory with a critical approach, along with the emergence of various generalizations in its evolution. Using the latest theories of the philosophy of science, the author aims to provide a philosophical explanation for the gaps in the fixed point theory and introduce the reader to profound mathematical-philosophical challenges.
The book examines the classical techniques of this theory with a critical approach, along with the emergence of various generalizations in its evolution. Using the latest theories of the philosophy of science, the author aims to provide a philosophical explanation for the gaps in the fixed point theory and introduce the reader to profound mathematical-philosophical challenges.
More details
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
3 Tables, black and white; 3 Line drawings, black and white; 3 Illustrations, black and white
ISBN-13
978-1-040-27169-8 (9781040271698)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Shahram Rezapour
Lights and Shadows on Generalizations in Fixed Point Theory
Book
approx. 07/2026
1st Edition
CRC Press
€66.00
Not yet published
Shahram Rezapour
Lights and Shadows on Generalizations in Fixed Point Theory
Book
11/2024
1st Edition
CRC Press
€186.80
Shipment within 10-20 days
Person
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.
Content
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.
