Fixed Point Theorems for Mappings Contracting Perimeter of Triangles Embedded with F-Contractions in b-Metric Spaces
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i4.6810Keywords:
fixed point (FP), Banach contraction principle (BCP), metric space (MS), $\mathsf{b}$-metric space ($\mathsf{b}$-MS), mapping contracting perimeters of triangle (MCPT)Abstract
In this article, the concept of a mapping contracting perimeter of triangles embedded with F-contractions in the framework of b-metric spaces is introduced. Some related fixed point results are established. Banach Contraction Principle is derived as a corollary of main result. Additionally, we construct examples of mappings contracting perimeters of triangles embedded
with F-contractions which are not contraction mappings in the framework of b-metric spaces. The results of this article are the extensions of some already established results in literature
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Copyright (c) 2025 Samina Batul, Haitham Qawaqneh, Hira Ulfat, Dur-e-Shehwar Sagheer, Hassen Aydi
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