Revisiting of Some Outstanding Metric Fixed Point Theorems Via <i>e</I>-contraction
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Abstract
In this paper, we introduce the notion of alpha-psi-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings. We also list some examples to illustrate our results that unify and generalize the several well-known results including the famous Banach contraction mapping principle.
Description
Fulga, Andreea/0000-0002-6689-0355; KARAPINAR, ERDAL/0000-0002-6798-3254
Keywords
alpha-psi-contractive mapping of type, Fixed point, metric space, α-ψ-Contractive Mapping of Type, α-ψ-contractive mapping of type, fixed point, primary 46t99, 47h10, metric space, QA1-939, secondary 54h25, Mathematics
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0101 mathematics, 01 natural sciences
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OpenCitations Citation Count
4
Volume
26
Issue
3
Start Page
73
End Page
97
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CrossRef : 3
Scopus : 6
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6
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