Function weighted \mathcal{G}-metric spaces and Hausdorff \Delta-distances; an application to fixed point theory
Publish Year: 1400
Type: Journal paper
Language: English
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Document National Code:
JR_IJNAA-12-2_110
Index date: 2 December 2022
Function weighted \mathcal{G}-metric spaces and Hausdorff \Delta-distances; an application to fixed point theory abstract
In this paper, we introduce a new space which is a generalization of function weighted metric space introduced by Jleli and Samet [On a new generalization of metric spaces, J. Fixed Point Theory Appl. 2018, 20:128] where namely function weighted \mathcal{G}-metric space. Also, a Hausdorff \Delta-distance is introduced in these spaces. Then several fixed point results for both single-valued and multi-valued mappings in such spaces are proved. We also construct some examples for the validity of the given results and present an application to the existence of a solution of the Volterra-type integral equation.
Function weighted \mathcal{G}-metric spaces and Hausdorff \Delta-distances; an application to fixed point theory Keywords:
Function weighted mathcal{G}-metric space , Hausdorff Delta-distance , coupled coincidence point , Common coupled fixed point