A Survey On The Fixed Point Theorems Via Admissible Mapping
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Date
2022
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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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Admissible Mapping, Fixed Point, Meır-Keeler Contraction, Partially Ordered Sets, Metric-Spaces, Simulation Functions
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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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3C TIC
Volume
11
Issue
2
Start Page
26
End Page
50