Some common fixed-point theorems for a pair of p-hybrid mappings via common limit range property in G-metric space

Abstract

This paper aims to prove common fixed point theorems for a pair of hybrid and p-hybrid mappings via common limit range property in G-metric space setting. The theorems proved here will generalise the results due to Nashine et al. [35], Karapinar et al. [23, 24] from metric space notion to G-metric space and that of Mustafa et al.[30] using (CLRf ) property concept in G-metric space, and many others in this setting. We also provided an illustrative example to validate the results.

Keywords

• p-hybrid mapping
• common limit range property
• g-metric space
• common fixed point