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Citation - WoS: 5
Citation - Scopus: 6
Revisiting of Some Outstanding Metric Fixed Point Theorems Via e-contraction
(Ovidius Univ Press, 2018) Fulga, Andreea; Karapinar, Erdal
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.
Citation - WoS: 9
Citation - Scopus: 14
Sehgal Type Contractions on b-Metric Space
(Mdpi, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
In this paper, we analyze two discontinuous self-mappings that satisfy Sehgal-type inequalities in the setup of complete b-metric space. The main results of the paper cover and extend a few existing results in the corresponding literature. Furthermore, we give some illustrative examples to verify the effectiveness and strength of our derived results. Thereafter, as an application, we consider the obtained result to aggregate the existence and uniqueness of the solution for nonlinear Fredholm integral equations.