Fixed point theory in the setting of (α,β,ψ,φ)-interpolative contractions
Metadatos
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Springer
Materia
Interpolative contraction Kannan contraction Proinov contraction Ample spectrum contraction Fixed point
Fecha
2021-07-16Referencia bibliográfica
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]
Patrocinador
Junta de Andalucia FQM-365 PID2020-119478GB-I00Resumen
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.
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