Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation

Calogero Vetro, Hamidreza Rahimi, Ghasem Soleimani Rad

Risultato della ricerca: Articlepeer review

3 Citazioni (Scopus)

Abstract

We consider the notion of generalized c-distance in the setting of ordered cone b-metric spaces and obtain some new fixed point results. Our results provide a more general statement, under which can be unified some theorems of the existing literature. In particular, we refer to the results of Sintunavarat et al. [W. Sintunavarat, Y.J. Cho, P. Kumam, Common fixed point theorems for c-distance in ordered cone metric spaces, Comput. Math. Appl. 62 (2011) 1969-1978]. Some examples and an application to nonlinear fourth-order differential equation are given to support the theory.
Lingua originaleEnglish
pagine (da-a)635-648
Numero di pagine14
RivistaFixed Point Theory
Volume20
Stato di pubblicazionePublished - 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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