Karapınar, ErdalFulga, AndreeaKarapinar, ErdalMathematics2024-07-052024-07-05201841224-17841844-083510.2478/auom-2018-00342-s2.0-85061983156https://doi.org/10.2478/auom-2018-0034https://hdl.handle.net/20.500.14411/2964Fulga, Andreea/0000-0002-6689-0355; KARAPINAR, ERDAL/0000-0002-6798-3254In 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.eninfo:eu-repo/semantics/openAccessalpha-psi-contractive mapping of typeFixed pointmetric spaceArticleQ3Q32637397WOS:000453259100006