Journal of Advanced Mathematical Modeling

Journal of Advanced Mathematical Modeling

Best proximity point of weak contraction on the Riemannian Manifolds

Document Type : Original Paper

Author
Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran.
Abstract
This study aims to define $\perp$-proximally increasing mappings and compute some best proximity point results regarding this mapping in the framework of new spaces on the Riemannian manifolds. The new spaces are called strongly orthogonal Riemannian metric spaces. This study aims to define $\perp$-proximally increasing mappings and compute some best proximity point results regarding this mapping in the framework of new spaces on the Riemannian manifolds. The new spaces are called strongly orthogonal Riemannian metric spaces.
Keywords
Subjects

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  • Receive Date 19 August 2024
  • Revise Date 18 January 2025
  • Accept Date 25 March 2025