Coincidence Point of Edelstein Type Mappings in Fuzzy Metric Spaces and Applications to the Stability of Dynamic Markets
- Shukla, Satish, Dubey, Nikita, Shukla, Rahul, Meznik, Ivan
- Authors: Shukla, Satish , Dubey, Nikita , Shukla, Rahul , Meznik, Ivan
- Date: 2023
- Subjects: Edelstein mapping , Fuzzy metric space , Coincidence point , Dynamic market , Demand and supply functions , Sensitivity index , Equilibrium point
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14398 , vital:79310 , DOI: https://doi.org/10.3390/axioms12090854
- Description: In this paper, we prove a coincidence point result for a pair of mappings satisfying Edelstein type contractive condition on fuzzy metric spaces. We describe the equilibrium of a simple demand– supply model of a dynamic market by the coincidence point of demand and supply functions. With the help of the coincidence point theorem in fuzzy metric spaces, it is showed that a dynamic market of a supply-sensitive nature (or demand-sensitive nature) always tends towards its equilibrium.
- Full Text:
- Date Issued: 2023
- Authors: Shukla, Satish , Dubey, Nikita , Shukla, Rahul , Meznik, Ivan
- Date: 2023
- Subjects: Edelstein mapping , Fuzzy metric space , Coincidence point , Dynamic market , Demand and supply functions , Sensitivity index , Equilibrium point
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14398 , vital:79310 , DOI: https://doi.org/10.3390/axioms12090854
- Description: In this paper, we prove a coincidence point result for a pair of mappings satisfying Edelstein type contractive condition on fuzzy metric spaces. We describe the equilibrium of a simple demand– supply model of a dynamic market by the coincidence point of demand and supply functions. With the help of the coincidence point theorem in fuzzy metric spaces, it is showed that a dynamic market of a supply-sensitive nature (or demand-sensitive nature) always tends towards its equilibrium.
- Full Text:
- Date Issued: 2023
Fixed Point Theorems in Graphical Cone Metric Spaces and Application to a System of Initial Value Problems
- Shukla, Satish, Dubey, Nikita, Shukla, Rahul
- Authors: Shukla, Satish , Dubey, Nikita , Shukla, Rahul
- Date: 2023
- Subjects: Fixed point , Graphical cone metric , Banach algebra , Contractions , System of initial value problems
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14392 , vital:79306 , DOI: https://doi.org/10.1186/s13660-023-03002-3
- Description: In this paper, we introduce the notion of graphical cone metric spaces over Banachalgebra and prove some fixed point results for a particular type of contractivemappings defined on such spaces. These results extend and generalize several resultsfrom metric, graphical metric, and cone metric spaces. Some examples thatdemonstrate the results proved herein are provided. An application of our results tothe existence of solution of a pair of initial value problems is provided.
- Full Text:
- Date Issued: 2023
- Authors: Shukla, Satish , Dubey, Nikita , Shukla, Rahul
- Date: 2023
- Subjects: Fixed point , Graphical cone metric , Banach algebra , Contractions , System of initial value problems
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14392 , vital:79306 , DOI: https://doi.org/10.1186/s13660-023-03002-3
- Description: In this paper, we introduce the notion of graphical cone metric spaces over Banachalgebra and prove some fixed point results for a particular type of contractivemappings defined on such spaces. These results extend and generalize several resultsfrom metric, graphical metric, and cone metric spaces. Some examples thatdemonstrate the results proved herein are provided. An application of our results tothe existence of solution of a pair of initial value problems is provided.
- Full Text:
- Date Issued: 2023
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