Fixed Point for Contraction Mapping in Complete Parametric B Metric Space

Arun Kumar Garg, Bharti Mishra

Abstract: There are many generalization of metric space. Complete parametric bmetric space is the generalization of metric space too. Which was introduced and studied by Hussian [8] (a new approach to metric space) in 2014. In present paper we prove two new fixed point theorems based on injective mapping using contraction conditions.

Keywords: unique fixed point, contraction, parametric metric space, injective mapping