On Parametric -Metric Spaces and Fixed-Point Type Theorems for Expansive Mappings

Nihal Taş and Nihal Yılmaz Özgür

Journal of Mathematics, 2016, vol. 2016, 1-6

Abstract:

We introduce the notion of a parametric -metric space as generalization of a parametric metric space. Using some expansive mappings, we prove a fixed-point theorem on a parametric -metric space. It is important to obtain new fixed-point theorems on a parametric -metric space because there exist some parametric -metrics which are not generated by any parametric metric. We expect that many mathematicians will study various fixed-point theorems using new expansive mappings (or contractive mappings) in a parametric -metric space.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4746732

DOI: 10.1155/2016/4746732

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