Existence of best proximity and fixed points in $G_p$-metric spaces

Journal of Linear and Topological Algebra

مقاله 1، دوره 07، شماره 03، آذر 2018، صفحه 155-168   

نوع مقاله: Special Issue on Fixed Point Theory

نویسندگان

S. Rathee؛ K. Dhingra^*

Department of Mathematics, Maharshi Dayanand University, Rohtak, India

چکیده

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.

کلیدواژه‌ها

fixed point؛ $G_p$-metric space؛ orbital admissible mapping

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