Reprint

Fixed Point Theory and Related Topics

Edited by
March 2020
236 pages
  • ISBN978-3-03928-432-0 (Paperback)
  • ISBN978-3-03928-433-7 (PDF)

This book is a reprint of the Special Issue Fixed Point Theory and Related Topics that was published in

Computer Science & Mathematics
Physical Sciences
Summary
Fixed point theory arose from the Banach contraction principle and has been studied for a long time. Its application mostly relies on the existence of solutions to mathematical problems that are formulated from economics and engineering. After the existence of the solutions is guaranteed, the numerical methodology will be established to obtain the approximated solution. Fixed points of function depend heavily on the considered spaces that are defined using the intuitive axioms. In particular, variant metrics spaces are proposed, like a partial metric space, b-metric space, fuzzy metric space and probabilistic metric space, etc. Different spaces will result in different types of fixed point theorems. In other words, there are a lot of different types of fixed point theorems in the literature. Therefore, this Special Issue welcomes survey articles. Articles that unify the different types of fixed point theorems are also very welcome. The topics of this Special Issue include the following: Fixed point theorems in metric space Fixed point theorems in fuzzy metric space Fixed point theorems in probabilistic metric space Fixed point theorems of set-valued functions in various spaces The existence of solutions in game theory The existence of solutions for equilibrium problems The existence of solutions of differential equations The existence of solutions of integral equations Numerical methods for obtaining the approximated fixed points
Format
  • Paperback
License
© 2020 by the authors; CC BY licence
Keywords
proximity point; rectangular metric; G-contraction; graph; fixed point; Geraghty; b-metric space; diffeomorphism; contactomorphism; symplectomorphism; common fixed point; binary relation; preserving mapping; (ϕg, R )-contraction; partial ordering; best proximity point; dualistic partial metric space; tricyclic mappings; extended partial Sb-metric space; fuzzy metric space; α-ϱ-fuzzy contraction; M-cauchy sequence; G-cauchy sequence; non-unique fixed point; contractions; partial metric; simulation function; Branciari distance; b-Branciari distance; best proximity point; Ƶ-contraction; geraghty type contraction; simulation function; admissible mapping; variational inequality; metric space; fixed point; weakly JS-contraction; fixed point; locally K-convex spaces; relatively cyclic and relatively noncyclic p-contractions; best proximity point; fuzzy soft points; C*-algebra-valued fuzzy soft metric; ω -compatible; coincidence point; common fixed point; multi-valued map.; interpolative contraction; contraction; fixed point; Cauchy sequence; near fixed point; informal metric space; informal vector space; null set; eighth-order boundary value problem; Green’s function; Leray–Schauder nonlinear alternative; nontrivial solution; fixed points; Banach algebras; fixed point theorems; measure of weak noncompactness; weak topology; integral equations; *−nonexpansive multi-valued mapping; viscosity approximation methods; fixed point; convex metric space