The purpose of this paper is to define generalized (αβ-ψ)-contraction in the context of F-metric space and obtain some new fixed point results. As applications, we solve a nonlinear neutral differential equation with an unbounded delay v/(l) = ρ1(l)v(l) + L(v)L(l-ς(l) + ρ3(l)v/(l-ς(l), where ρ1(l), ρ2(l) are continuous, ρ3(l) is continuously differentiable and ς(l) > 0, for all l ∈ R and is twice continuously differentiable.

Fixed point theorems for generalized (αβ-γ)-contractions in F-metric spaces with applications

Marino G.
2020-01-01

Abstract

The purpose of this paper is to define generalized (αβ-ψ)-contraction in the context of F-metric space and obtain some new fixed point results. As applications, we solve a nonlinear neutral differential equation with an unbounded delay v/(l) = ρ1(l)v(l) + L(v)L(l-ς(l) + ρ3(l)v/(l-ς(l), where ρ1(l), ρ2(l) are continuous, ρ3(l) is continuously differentiable and ς(l) > 0, for all l ∈ R and is twice continuously differentiable.
2020
F-metric spaces
Fixed point
Generalized (αß-ψ)-contraction
Nonlinear neutral differential equation
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/316521
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 16
  • ???jsp.display-item.citation.isi??? ND
social impact