NOVEL RESULTS OF AN ORTHOGONAL (α−F)-CONVEX CONTRACTION MAPPING

Makaleler > Tam Makale · 2024

Yazarlar: Gunasekaran Nallaselli, Arul Joseph Gnanaprakasam, Gunaseelan Mani, Özgür EGE

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2024, cilt 54, ss 1411-1425

DOI: 10.1216/rmj.2024.54.1411

Özet

The main goal of this article is to introduce the idea of ( α⊥ −F)-convex contraction in the context of orthogonal metric spaces and to provide some novel fixed point results in said spaces. Additionally, we offer a case study to illustrate the originality of the outcomes. As an application of our key finding, we investigate the solution of a nonlinear Volterra integral equation.

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