We give some fixed point theorems in the setting of metric spaces or partial metric spaces endowed with a finite number of graphs. The presented results extend and improve several well known results in the literature. In particular, we discuss a Caristi type fixed point theorem in the setting of partial metric spaces, which has a close relation to Ekeland's principle.
Vetro, C., Vetro, F. (2014). Metric or partial metric spaces endowed with a finite number of graphs: a tool to obtain fixed point results. TOPOLOGY AND ITS APPLICATIONS, 164, 125-137 [http://dx.doi.org/10.1016/j.topol.2013.12.008].
Metric or partial metric spaces endowed with a finite number of graphs: a tool to obtain fixed point results
VETRO, Calogero;VETRO, Francesca
2014-01-01
Abstract
We give some fixed point theorems in the setting of metric spaces or partial metric spaces endowed with a finite number of graphs. The presented results extend and improve several well known results in the literature. In particular, we discuss a Caristi type fixed point theorem in the setting of partial metric spaces, which has a close relation to Ekeland's principle.
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