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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: 34
Citation - Scopus: 52
Common Fixed Point Results on an Extended B-Metric Space
(Springeropen, 2018) Alqahtani, Badr; Fulga, Andreea; Karapinar, Erdal
In this paper, we investigate the existence of common fixed points of a certain mapping in the frame of an extended b-metric space. The given results cover a number of well-known fixed point theorems in the literature. We state some examples to illustrate our results.