Some advances in the theory of quasi-pseudometric type spaces

Abstract

In this paper, we extend most of the results proved in [4]. In particular, we give some topological properties of the quasi-pseudometric type spaces. Moreover, some fixed point and common fixed point theorems are obtained in the setting of quasi-pseudometric spaces, introduced some months ago by Kazeem et al in [4].

Startpoints via weak contractions

“…The theory of startpoint came to extend the idea of fixed points for multi-valued mappings defined on quasi-pseudometric spaces. A more detailed introduction to the subject can be read in [2,3,4]. As mentioned in Definition 1.1, the appropriate framework for the theory of startpoint is the quasi-metric setting.…”