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 $p$.
|Numero di pagine||9|
|Rivista||Journal of Inequalities and Applications|
|Stato di pubblicazione||Published - 2014|
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Applied Mathematics