Existence of best proximity and fixed points in $G_p$-metric spaces
الموضوعات :
S. Rathee
1
(Department of Mathematics, Maharshi Dayanand University, Rohtak, India)
K. Dhingra
2
(Department of Mathematics, Maharshi Dayanand University, Rohtak, India)
الکلمات المفتاحية: fixed point, $G_p$-metric space, orbital admissible mapping,
ملخص المقالة :
In this paper, we establish some best proximity point theorems using new proximal contractive mappings in asymmetric $G_{p}$-metric spaces. Our motive is to find an optimal approximate solution of a fixed point equation. We provide best proximity points for cyclic contractive mappings in $G_{p}$-metric spaces. As consequences of these results, we deduce fixed point results in $G_{p}$-metric spaces. We also provide examples to analyze and support our results.
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