Fixed Point Results via Real-Valued Function Satisfying Intergral Type Rational Contraction
- Mani, Naveen, Sharma, Amit, Shukla, Rahul
- Authors: Mani, Naveen , Sharma, Amit , Shukla, Rahul
- Date: 2023
- Subjects: Real-Valued function , Fixed Point , Satisfying Integral Type Contractions
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14269 , vital:79174 , DOI: https://doi.org/10.1155/2023/2592507
- Description: In this article, we mainly discuss the existence and uniqueness offixed point satisfying integral type contractions in completemetric spaces via rational expression using real-valued functions. We improve and unify many widely known results from theliterature. Among these, the work of Rakotch (1962), Branciari (2002), and Liu et al. (2013) is extended. Finally, we concludewith an example presented graphically in favour of our work.
- Full Text:
- Date Issued: 2023
- Authors: Mani, Naveen , Sharma, Amit , Shukla, Rahul
- Date: 2023
- Subjects: Real-Valued function , Fixed Point , Satisfying Integral Type Contractions
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14269 , vital:79174 , DOI: https://doi.org/10.1155/2023/2592507
- Description: In this article, we mainly discuss the existence and uniqueness offixed point satisfying integral type contractions in completemetric spaces via rational expression using real-valued functions. We improve and unify many widely known results from theliterature. Among these, the work of Rakotch (1962), Branciari (2002), and Liu et al. (2013) is extended. Finally, we concludewith an example presented graphically in favour of our work.
- Full Text:
- Date Issued: 2023
Fixed Point Theory in External Parametric Sb-Metric Spaces and Its Applications
- Mani, Naveen, Beniwal, Sunil, Shukla, Rahul, Megha, Pingale
- Authors: Mani, Naveen , Beniwal, Sunil , Shukla, Rahul , Megha, Pingale
- Date: 2023
- Subjects: Metric space , Fixed point , Parametic , Linear , Contraction
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14265 , vital:79171 , DOI: https://doi.org/10.3390/sym15122136
- Description: This article introduces the novel concept of an extended parametric Sb-metric space, which is a generalization of both Sb-metric spaces and parametric Sb-metric spaces. Within this extended framework, we first establish an analog version of the Banach fixed-point theorem for self-maps.We then prove an improved version of the Banach contraction principle for symmetric extended parametric Sb-metric spaces, using an auxiliary function to establish the desired result. Finally, we provide illustrative examples and an application for determining solutions to Fredholm integralequations, demonstrating the practical implications of our work.
- Full Text:
- Date Issued: 2023
- Authors: Mani, Naveen , Beniwal, Sunil , Shukla, Rahul , Megha, Pingale
- Date: 2023
- Subjects: Metric space , Fixed point , Parametic , Linear , Contraction
- Language: English
- Type: Article
- Identifier: http://hdl.handle.net/11260/14265 , vital:79171 , DOI: https://doi.org/10.3390/sym15122136
- Description: This article introduces the novel concept of an extended parametric Sb-metric space, which is a generalization of both Sb-metric spaces and parametric Sb-metric spaces. Within this extended framework, we first establish an analog version of the Banach fixed-point theorem for self-maps.We then prove an improved version of the Banach contraction principle for symmetric extended parametric Sb-metric spaces, using an auxiliary function to establish the desired result. Finally, we provide illustrative examples and an application for determining solutions to Fredholm integralequations, demonstrating the practical implications of our work.
- Full Text:
- Date Issued: 2023
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