Some Fixed-Point Theorems of Convex Orbital(α,β)- Contraction Mappings in Geodescic
- Authors: Shukla, Rahul
- Date: 2023
- Subjects: Iterated contraction , Geodesci space , Partial order
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14380 , vital:79311 , DOI: https://doi.org/10.1186/s13663-023-00749-8
- Description: 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.
- Full Text:
- Authors: Shukla, Rahul
- Date: 2023
- Subjects: Iterated contraction , Geodesci space , Partial order
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14380 , vital:79311 , DOI: https://doi.org/10.1186/s13663-023-00749-8
- Description: 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.
- Full Text:
Some Fixed-Point Theorems of Convex Orbital(α,β)-Contractions Mappings in Geodesic
- Authors: Shukla, Rahul
- Date: 2023
- Subjects: Iterated contraction , Geodesic space , Partial order
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14257 , vital:79169 , DOI: https://doi.org/10.1186/s13663-023-00749-8
- Description: 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 naturalextension of iterated contraction mappings. The paper derives fixed-point theoremsboth with and without assuming continuity. Furthermore, the paper investigatesmonotone convex orbital (α,β)-contraction mappings and establishes a fixed-pointtheorem for this class of mappings.
- Full Text:
- Authors: Shukla, Rahul
- Date: 2023
- Subjects: Iterated contraction , Geodesic space , Partial order
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14257 , vital:79169 , DOI: https://doi.org/10.1186/s13663-023-00749-8
- Description: 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 naturalextension of iterated contraction mappings. The paper derives fixed-point theoremsboth with and without assuming continuity. Furthermore, the paper investigatesmonotone convex orbital (α,β)-contraction mappings and establishes a fixed-pointtheorem for this class of mappings.
- Full Text:
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