Karapınar, ErdalKarapınar, ErdalFulga, AndreeaLopez de Hierro, Antonio Francisco Roldan2022-04-292022-04-292021Karapınar, Erdal; Fulga, Andreea; Lopez de Hierro, Antonio Francisco Roldan (2021). "Fixed point theory in the setting of (alpha,beta,psi,phi)-interpolative contractions", Advances in Difference Equations, Vol. 2021, No. 1.1687-1839https://hdl.handle.net/20.500.12416/5465In this manuscript we introduce the notion of (alpha,beta,psi,phi)-interpolative contraction that unifies and generalizes significant concepts: Proinov type contractions, interpolative contractions, and ample spectrum contraction. We investigate the necessary and sufficient conditions to guarantee existence and uniqueness of the fixed point of such mappings.eninfo:eu-repo/semantics/openAccessInterpolative ContractionKannan ContractionProinov ContractionAmple Spectrum ContractionFixed PointArticle2021110.1186/s13662-021-03491-w