Fixed Point, Coincidence Point and Common Fixed Point Theorems under Various Expansive Conditions in Parametric Metric Spaces and Parametric b-Metric Spaces

Year 2016, Volume: 29 Issue: 1, 95 - 107, 21.03.2016

Rashmi Jain , R. D. Daheriya Manoj Ughade

Abstract

In this article, we establish some fixed, common fixed and coincidence point theorems for expansive type mappings in parametric metric spaces and parametric b-metric spaces. The presented theorems extend, generalize and improve many existing results in the literature. Also, we introduce some examples the support the validity of our results.

Keywords

Coincidence point, fixed point, common fixed point, parametric metric space, parametric b-metric space, weakly compatible maps.

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