Recent Advances on Quasi-Metric Spaces

• Other Authors: Fulga, Andreea (Editor), Karapinar, Erdal (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
• Subjects: Research & information: general; Mathematics & science; b-metric; Banach fixed point theorem; Caristi fixed point theorem; homotopy; M-metric; M-Pompeiu-Hausdorff type metric; multivalued mapping; fixed point; quasi metric space; altering distance function; (ψ, ϕ)-quasi contraction.; pata type contraction; Suzuki type contraction; C-condition; orbital admissible mapping; non-Archimedean quasi modular metric space; θ-contraction; Suzuki contraction; simulation contraction; R-function; simulation function; manageable function; contractivity condition; binary relation; quasi-metric space; left K-complete; α-ψ-contractive mapping; asymptotic stability; differential and riemann-liouville fractional differential neutral systems; linear matrix inequality
• Online Access: DOAB: download the publication; DOAB: description of the publication

Metric fixed-point theory lies in the intersection of three main subjects: topology, functional analysis, and applied mathematics. The first fixed-point theorem, also known as contraction mapping principle, was abstracted by Banach from the papers of Liouville and Picard, in which certain differenti...