Fixed Point Theory in the Setting of (α,β,ψ,φ)-Interpolative Contractions

Fulga, AndreeaLopez de Hierro, Antonio Francisco RoldanErdal Karapinar2022-04-292025-09-182022-04-292025-09-182021Karapınar, 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. 1.1687-1847https://doi.org/10.1186/s13662-021-03491-whttps://hdl.handle.net/20.500.12416/12313In 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 Point47H1047H0954H25Fixed Point Theory in the Setting of (α,β,ψ,φ)-Interpolative ContractionsFixed point theory in the setting of (alpha,beta,psi,phi)-interpolative contractionsArticle10.1186/s13662-021-03491-w2-s2.0-85110728161