Fixed point theory in the setting of (α,β,ψ,φ)-interpolative contractions Karapinar, Erdal Fulga, Andreea Roldán López de Hierro, Antonio Francisco Interpolative contraction Kannan contraction Proinov contraction Ample spectrum contraction Fixed point The authors thank their universities. A.F. Roldan Lopez de Hierro is grateful to Junta de Andalucia by project FQM-365 of the Andalusian CICYE and to Ministerio de Ciencia e Innovacion by project PID2020-119478GB-I00. In this manuscript we introduce the notion of (α,β,ψ,φ)-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. 2021-09-21T06:28:29Z 2021-09-21T06:28:29Z 2021-07-16 info:eu-repo/semantics/article Karapınar, E., Fulga, A. & Roldán López de Hierro, A.F. Fixed point theory in the setting of (\alpha,\beta,\psi,\phi)-interpolative contractions. Adv Differ Equ 2021, 339 (2021). [https://doi.org/10.1186/s13662-021-03491-w] http://hdl.handle.net/10481/70307 10.1186/s13662-021-03491-w eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Springer