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Mathematics > General Topology
Title: Fixed points for three point generalized orbital triangular contractions
(Submitted on 24 Apr 2024)
Abstract: 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.
Submission history
From: Cristina Maria Pacurar [view email][v1] Wed, 24 Apr 2024 06:33:37 GMT (51kb,D)
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