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Generalized Rational Type Contraction and Fixed Point Theorems in Partially Ordered Metric Spaces

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Title: Generalized Rational Type Contraction and Fixed Point Theorems in Partially Ordered Metric Spaces

Authors: Muhammed Raji, Laxmi Rathour, Lakshmi N. Mishra, Vishnu N. Mishra

Journal: Journal of advances in applied & computational mathematics

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Year: 2023

Volume: 10

Language: en

DOI: 10.15377/2409-5761.2023.10.13

Keywords: fixed pointMetric spacesWell ordered setRational contractions Partially ordered metric space

Categories
Contraction Mappings (2) Metric Spaces (17) Ordered Sets (1) Mathematics (5170) Fixed Point Theory (28)

Abstract

In this article, we establish the existence and uniqueness of fixed points for rational type contraction mappings in a metric space that is equipped with a partial order. Our results are shown to improve upon previous results in the literature, and we provide illustrative examples to demonstrate the effectiveness of our approach.
Mathematics Subject Classification: 47H10; 54H25.

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