A Survey on the Fixed Point Theorems Via Admissible Mapping
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Abstract
In this survey, we discuss the crucial role of the notion of admissible mapping in the metric fixed point theory. Adding admissibility conditions to the statements leads not only to generalizing the existing results but also unifying several corresponding results in different settings. In particular, a contraction via admissible mapping involves and covers contractions defined on partially ordered sets, and contractions forming cyclic structure.
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Keywords
Admissible Mapping, Fixed Point, Mathematical economics, Fixed Point Theorems, Pure mathematics, Geometry, Linguistics, Fixed point, Discrete mathematics, Generalized Contractions, Contraction mapping, Computer science, Mathematical analysis, FOS: Philosophy, ethics and religion, Philosophy, Fixed Point Theorems in Metric Spaces, Contractive Mappings, Point (geometry), Physical Sciences, FOS: Mathematics, FOS: Languages and literature, Contraction (grammar), Geometry and Topology, Metric space, Fixed-point theorem, Mathematics
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Citation
Karapınar, E. (2022). "A Survey On The Fixed Point Theorems Via Admissible Mapping", 3C TIC, Vol.11, No.2, pp.26-50.
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1
Volume
11
Issue
2
Start Page
26
End Page
50
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