Best proximity point of weak contraction on the Riemannian Manifolds

نوع مقاله : مقاله پژوهشی

نویسنده

Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran.

10.22055/jamm.2025.47659.2302

چکیده

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.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Best proximity point of weak contraction on the Riemannian Manifolds

نویسنده [English]

  • Mehdi Jafari
Department of Mathematics, Payame Noor University, PO BOX 19395-4697, Tehran, Iran.
چکیده [English]

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.

کلیدواژه‌ها [English]

  • Riemannian Manifolds
  • Weak Contraction
  • Best Proximity Point