Revisiting of some outstanding metric fixed point theorems via E-contraction
Fulga Andreea, Karapınar Erdal
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica · 2018
doi:10.2478/auom-2018-0034 (opens in a new tab)
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Abstract
In this paper, we introduce the notion of α-ψ -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.
Abstract licence: CC BY-NC-ND
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