2024/04/24 by Cristina Maria Păcurar, Pacurar, Cristina Maria, Ovidiu Popescu +1
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Mathematics #Fixed Point Theorems Analysis #General Topology (math.GN) #Structural Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.2404.15682
openalex publication_date 2024/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we introduce and study new classes of mappings in metric spaces. The main class of mappings is called generalized orbital triangular contractions and it generalizes some existing results (such as Banach contractions, mappings contracting perimeters of triangles). We prove that these contractions are not necessarily continuous and have a unique fixed point under certain conditions. Moreover, we extend our class to generalized orbital triangular Kannan contractions and generalized orbital triangular Chatterjea contractions.