pith. sign in

arxiv: 1606.05478 · v1 · pith:WITBACP2new · submitted 2016-06-17 · 🧮 math.FA

Fixed point results on θ-metric spaces via simulation functions

classification 🧮 math.FA
keywords resultsfixedfunctionspointsimulationspacestheta-metricz-contractions
0
0 comments X
read the original abstract

In a recent article, Khojasteh et al. introduced a new class of simulation functions, Z-contractions, with blending over known contractive conditions in the literature. Subsequently, in this paper, we extend and generalize the results on \theta-metric context and we discuss some fixed point results in connection with existing ones. Also, we originate the notion of modified Z-contractions and explore the existence and uniqueness of fixed points of such functions on the said spaces. Finally we include examples to instantiate our main results.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.