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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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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Abstract 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.
AbstractList Abstract In order to study the existence of best proximity points of a ( T ) $\left ( T\right ) $ 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.
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.
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.
ArticleNumber 11
Author Taoufik, Sabar
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Cites_doi 10.1007/978-3-662-12494-9
10.2996/kmj/1138846111
10.1007/s12215-021-00694-8
10.1007/s10957-014-0583-x
10.24193/fpt-ro.2021.1.05
10.4064/sm171-3-5
10.1090/gsm/033
10.1016/j.na.2009.01.173
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spaces
47H09
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Best proximity point
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References R. Espinola (788_CR4) 2015
T. Sabar (788_CR9) 2021; 22
W.A. Kirk (788_CR6) 2003; 4
T. Suzuki (788_CR10) 2009; 71
T. Sabar (788_CR7) 2023; 72
D. Burago (788_CR2) 2001
A.A. Eldred (788_CR3) 2005; 171
M. Gromov (788_CR5) 1984
T. Sabar (788_CR8) 2017; 7
M.R. Bridson (788_CR1) 1999
W. Takahashi (788_CR11) 1970; 22
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Snippet In order to study the existence of best proximity points of a ( T ) condition satisfying mapping, we introduce a new interesting notion of triangular...
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...
Abstract In order to study the existence of best proximity points of a ( T ) $\left ( T\right ) $ condition satisfying mapping, we introduce a new interesting...
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StartPage 11
SubjectTerms 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
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Title Tricyclic mappings: revisited
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