Tricyclic mappings: revisited

In order to study the existence of best proximity points of a ( T ) condition satisfying mapping, we introduce a new interesting notion of triangular projection in geodesic metric spaces. Using the famous Schauder fixed point theorem, we obtain a best proximity point result for such mappings.

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Bibliographic Details
Published inFixed point theory and algorithms for sciences and engineering Vol. 2025; no. 1; pp. 11 - 13
Main Author Taoufik, Sabar
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 19.05.2025
Springer Nature B.V
SpringerOpen
Subjects
Algorithms
Analysis
Applications of Mathematics
Best proximity point
CAT $\mathrm{CAT}$ spaces
Differential Geometry
Fixed points (mathematics)
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Metric space
Schauder fixpoint theorem
Topology
Tricyclic contractions
Tricyclic contractions
spaces
47H09
47H10
Best proximity point
54H25
Online AccessGet full text
ISSN2730-5422
2730-5422
DOI10.1186/s13663-025-00788-3

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Summary:In order to study the existence of best proximity points of a ( T ) condition satisfying mapping, we introduce a new interesting notion of triangular projection in geodesic metric spaces. Using the famous Schauder fixed point theorem, we obtain a best proximity point result for such mappings.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2730-5422
2730-5422
DOI:10.1186/s13663-025-00788-3