Fixed point theory in partial metric spaces via $\varphi$-fixed point's concept in metric spaces

Calogero Vetro, Mohamed Jleli, Bessem Samet

Risultato della ricerca: Article

18 Citazioni (Scopus)

Abstract

Let $X$ be a non-empty set. We say that an element $x\in X$ is a $\varphi$-fixed point of $T$, where $\varphi: X\to [0,\infty)$ and $T: X\to X$, if $x$ is a fixed point of $T$ and $\varphi(x)=0$. In this paper, we establish some existence results of $\varphi$-fixed points for various classes of operators in the case, where $X$ is endowed with a metric $d$. The obtained results are used to deduce some fixed point theorems in the case where $X$ is endowed with a partial metric $p$.
Lingua originaleEnglish
pagine (da-a)1-9
Numero di pagine9
RivistaJournal of Inequalities and Applications
Volume2014
Stato di pubblicazionePublished - 2014

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cita questo