Reprint

Theory and Application of Fixed Point

Edited by
September 2021
220 pages
  • ISBN978-3-0365-2071-1 (Hardback)
  • ISBN978-3-0365-2072-8 (PDF)

This is a Reprint of the Special Issue Theory and Application of Fixed Point that was published in

Computer Science & Mathematics
Physical Sciences
Summary

In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and fractional integral equations (FIE). Indeed, FDE and FIE lead to a better understanding of several physical phenomena, which is why such differential equations have been highly appreciated and explored. We also note the importance of distinct abstract spaces, such as quasi-metric, b-metric, symmetric, partial metric, and dislocated metric. Sometimes, one of these spaces is more suitable for a particular application. Fixed point theory techniques in partial metric spaces have been used to solve classical problems of the semantic and domain theory of computer science.

This book contains some very recent theoretical results related to some new types of contraction mappings defined in various types of spaces. There are also studies related to applications of the theoretical findings to mathematical models of specific problems, and their approximate computations. In this sense, this book will contribute to the area and provide directions for further developments in fixed point theory and its applications.

Related Books

August 2024

Advances in Fixed Point Theory and Its Applications

Computer Science & Mathematics
June 2020

Recent Advances on Quasi-Metric Spaces

Computer Science & Mathematics
March 2020

Fixed Point Theory and Related Topics

Computer Science & Mathematics
October 2021

Fixed Point Theory and Its Related Topics II

Computer Science & Mathematics
April 2021

Nonlinear Functional Analysis and Its Applications

Computer Science & Mathematics

The recommendations have been generated using an AI system.