Abstract
“The theory of fixed points is one of the most powerful tools of modern mathematics” quoted by Felix Browder, gave a new impetus to the modern fixed point theory via the development of nonlinear functional analysis as an active and vital branch of mathematics. The flourishing field of fixed point theory started in the early days of topology (the work of Poincare, Lefschetz–Hopf, and Leray–Schauder). This theory is applied to many areas of current interest in analysis, with topological considerations playing a crucial role, including the relationship with degree theory. For example, the existence problems are usually translated into a fixed point problem like the existence of solutions to elliptic partial differential equations, or the existence of closed periodic orbits in dynamical systems, and more recently the existence of answer sets in logic programming. Fixed point theory of certain important mappings is very interesting in its own right due to their results having constructive proofs and applications in industrial fields such as image processing engineering, physics, computer science, economics and telecommunication.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.