Some fixed-point theorems of convex orbital (α,β)-contraction mappings in geodesic spaces

The aim of this paper is to broaden the applicability of convex orbital ( α , β ) -contraction mappings to geodesic spaces. This class of mappings is a natural extension of iterated contraction mappings. The paper derives fixed-point theorems both with and without assuming continuity. Furthermore, t...

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Published inFixed point theory and algorithms for sciences and engineering Vol. 2023; no. 1; pp. 12 - 13
Main Author Shukla, Rahul
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 12.09.2023
Springer Nature B.V
SpringerOpen
Subjects
Algorithms
Analysis
Applications of Mathematics
Differential Geometry
Fixed points (mathematics)
Geodesic space
Iterated contraction
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Optimization and Real World Applications
Partial order
Theorems
Topology
47H09
Iterated contraction
Geodesic space
47H10
Partial order
54H25
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ISSN2730-5422
2730-5422
DOI10.1186/s13663-023-00749-8

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Summary:The aim of this paper is to broaden the applicability of convex orbital ( α , β ) -contraction mappings to geodesic spaces. This class of mappings is a natural extension of iterated contraction mappings. The paper derives fixed-point theorems both with and without assuming continuity. Furthermore, the paper investigates monotone convex orbital ( α , β ) -contraction mappings and establishes a fixed-point theorem for this class of mappings.
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ISSN:2730-5422
2730-5422
DOI:10.1186/s13663-023-00749-8