An Improvement of Recent Fixed Point Results in Double‐Composed Partial Metric Spaces

More recently, a new concept of double‐composed partial metric space has been introduced, and the related Banach type and Kannan type fixed point results have been established. In this paper, we reconsider Banach type fixed point result in double‐composed partial metric spaces under new and simple assumptions. We also present the other fixed point result and some corollaries. Our fixed point results are the generalization and improvement of well‐known results in partial metric spaces, partial b ‐metric spaces, and double‐composed metric spaces. Moreover, as an application of our fixed point result, we explore the solutions of nonlinear integral equations.

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Publication Details

Journal
International Journal of Mathematics and Mathematical Sciences
Published
2025-01-01
DOI
https://doi.org/10.1155/ijmm/3251124
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

An Improvement of Recent Fixed Point Results in Double‐Composed Partial Metric Spaces

Chol Jin Kil
International Journal of Mathematics and Mathematical Sciences
Fixed Point Theorems Analysis
article

An Improvement of Recent Fixed Point Results in Double‐Composed Partial Metric Spaces

Chol Jin Kil
article en

Abstract

More recently, a new concept of double‐composed partial metric space has been introduced, and the related Banach type and Kannan type fixed point results have been established. In this paper, we reconsider Banach type fixed point result in double‐composed partial metric spaces under new and simple assumptions. We also present the other fixed point result and some corollaries. Our fixed point results are the generalization and improvement of well‐known results in partial metric spaces, partial b ‐metric spaces, and double‐composed metric spaces. Moreover, as an application of our fixed point result, we explore the solutions of nonlinear integral equations.

International Journal of Mathematics and Mathematical SciencesVol. 2025(1)
Kim Chaek University of Technology (KP)
Openalex Percentile: Top 63%
Fixed Point Theorems Analysis
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