Fixed point theory in the setting of (α,β,ψ,φ)-interpolative contractions

Karapinar, Erdal; Fulga, Andreea; Roldán López de Hierro, Antonio Francisco

doi:10.1186/s13662-021-03491-w

s13662-021-03491-w.pdf (1.648Mb)

Identificadores

URI: http://hdl.handle.net/10481/70307

DOI: 10.1186/s13662-021-03491-w

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Editorial

Springer

Materia

Interpolative contraction

Kannan contraction

Proinov contraction

Ample spectrum contraction

Fixed point

Date

2021-07-16

Referencia 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]

Sponsorship

Junta de Andalucia FQM-365 PID2020-119478GB-I00

Abstract

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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