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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.
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Keywords
- (ψ, ϕ)-quasi contraction.
- altering distance function
- asymptotic stability
- b-metric
- Banach fixed point theorem
- binary relation
- C-condition
- Caristi fixed point theorem
- contractivity condition
- differential and riemann-liouville fractional differential neutral systems
- fixed point
- homotopy
- left K-complete
- linear matrix inequality
- M-metric
- M-Pompeiu–Hausdorff type metric
- manageable function
- Mathematics & science
- multivalued mapping
- non-Archimedean quasi modular metric space
- orbital admissible mapping
- pata type contraction
- quasi metric space
- quasi-metric space
- R-function
- Reference, information & interdisciplinary subjects
- Research & information: general
- simulation contraction
- simulation function
- Suzuki contraction
- Suzuki type contraction
- α–ψ-contractive mapping
- θ-contraction
Links
DOI: 10.3390/books978-3-03928-882-3Editions