Recent Advances on Quasi-Metric Spaces

Recent Advances on Quasi-Metric Spaces

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...

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Bibliographic Details
Other Authors: Fulga, Andreea (Editor), Karapinar, Erdal (Editor)
Format: Book Chapter
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
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