Coupled fixed point, F-invariant set and fixed point of N-order

Calogero Vetro, Bessem Samet

Risultato della ricerca: Articlepeer review

102 Citazioni (Scopus)

Abstract

In this paper, we establish some new coupled fixed point theorems in complete metric spaces, using a new concept of $F$-invariant set. We introduce the notion of fixed point of $N$-order as natural extension of that of coupled fixed point. As applications, we discuss and adapt the presented results to the setting of partially ordered cone metric spaces. The presented results extend and complement some known existence results from the literature.
Lingua originaleEnglish
pagine (da-a)46-56
Numero di pagine11
RivistaAnnals of Functional Analysis
Volume1
Stato di pubblicazionePublished - 2010

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Analysis
  • Anatomy
  • Algebra and Number Theory

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