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
Main Author: Fulga, Andreea
Other Authors: Karapinar, Erdal
Format: eBook
Language:English
Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
Subjects:
Online Access:
Collection: Directory of Open Access Books - Collection details see MPG.ReNa
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245 0 0 |a Recent Advances on Quasi-Metric Spaces  |h Elektronische Ressource 
260 |a Basel, Switzerland  |b MDPI - Multidisciplinary Digital Publishing Institute  |c 2020 
300 |a 1 electronic resource (102 p.) 
653 |a Caristi fixed point theorem 
653 |a homotopy 
653 |a Suzuki type contraction 
653 |a Mathematics & science / bicssc 
653 |a α-ψ-contractive mapping 
653 |a fixed point 
653 |a M-metric 
653 |a pata type contraction 
653 |a θ-contraction 
653 |a Banach fixed point theorem 
653 |a non-Archimedean quasi modular metric space 
653 |a M-Pompeiu-Hausdorff type metric 
653 |a b-metric 
653 |a Suzuki contraction 
653 |a asymptotic stability 
653 |a linear matrix inequality 
653 |a altering distance function 
653 |a binary relation 
653 |a (ψ, ϕ)-quasi contraction. 
653 |a Research & information: general / bicssc 
653 |a differential and riemann-liouville fractional differential neutral systems 
653 |a orbital admissible mapping 
653 |a simulation contraction 
653 |a simulation function 
653 |a quasi-metric space 
653 |a C-condition 
653 |a quasi metric space 
653 |a left K-complete 
653 |a R-function 
653 |a multivalued mapping 
653 |a manageable function 
653 |a contractivity condition 
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700 1 |a Fulga, Andreea 
700 1 |a Karapinar, Erdal 
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520 |a 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 differential equations were solved by using the method of successive approximation. In other words, fixed-point theory developed from applied mathematics and has developed in functional analysis and topology. Fixed-point theory is a dynamic research subject that has never lost the attention of researchers, as it is very open to development both in theoretical and practical fields. In this Special Issue, among several submissions, we selected eight papers that we believe will be interesting to researchers who study metric fixed-point theory and related applications. It is great to see that this Special Issue fulfilled its aims. There are not only theoretical results but also some applications that were based on obtained fixed-point results. In addition, the presented results have great potential to be improved, extended, and generalized in distinct ways. The published results also have a wide application potential in various qualitative sciences, including physics, economics, computer science, engineering, and so on.