Research Article
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Year 2024, Early Access, 1 - 12
https://doi.org/10.15672/hujms.1336232

Abstract

References

  • [1] M. Abbas, B. Ali and Y.I. Suleman, Common fixed point of locally contractive mappings in multiplicative metric spaces with application, Int. J. Math. Math. Sci. 2015, 218683, 2015

Common Fixed Point Theorems in multiplicative $\mathfrak{m}$-metric space with Applications to the System of Multiplicative Integral Equations and Numerical Results

Year 2024, Early Access, 1 - 12
https://doi.org/10.15672/hujms.1336232

Abstract

This paper presents common fixed point results for a pair of self-mappings in multiplicative $\mathfrak{m}$-metric space. Also, we present the multiplicative partial metric structure as a specific case of a multiplicative m-metric space and demonstrate some common fixed point results. To support our conclusions, we present an illustrative example with discontinuous self-mappings. We also provide numerical iterations to approximate the common fixed point and graphs to visually substantiate our findings. As the consequences of our results, we demonstrate several common fixed point results in $m$-metric space and partial metric space. Our findings generalize various fixed point results from the literature. Furthermore, we employ the results to demonstrate the existence and uniqueness of solutions to a system of multiplicative Fredholm integral equations.

References

  • [1] M. Abbas, B. Ali and Y.I. Suleman, Common fixed point of locally contractive mappings in multiplicative metric spaces with application, Int. J. Math. Math. Sci. 2015, 218683, 2015
There are 1 citations in total.

Details

Primary Language English
Subjects Operator Algebras and Functional Analysis
Journal Section Mathematics
Authors

Kapil Yadav 0000-0002-9418-9187

Deepak Kumar 0000-0002-1028-5594

Early Pub Date August 27, 2024
Publication Date
Submission Date March 22, 2024
Acceptance Date June 16, 2024
Published in Issue Year 2024 Early Access

Cite

APA Yadav, K., & Kumar, D. (2024). Common Fixed Point Theorems in multiplicative $\mathfrak{m}$-metric space with Applications to the System of Multiplicative Integral Equations and Numerical Results. Hacettepe Journal of Mathematics and Statistics1-12. https://doi.org/10.15672/hujms.1336232
AMA Yadav K, Kumar D. Common Fixed Point Theorems in multiplicative $\mathfrak{m}$-metric space with Applications to the System of Multiplicative Integral Equations and Numerical Results. Hacettepe Journal of Mathematics and Statistics. Published online August 1, 2024:1-12. doi:10.15672/hujms.1336232
Chicago Yadav, Kapil, and Deepak Kumar. “Common Fixed Point Theorems in Multiplicative $\mathfrak{m}$-Metric Space With Applications to the System of Multiplicative Integral Equations and Numerical Results”. Hacettepe Journal of Mathematics and Statistics, August (August 2024), 1-12. https://doi.org/10.15672/hujms.1336232.
EndNote Yadav K, Kumar D (August 1, 2024) Common Fixed Point Theorems in multiplicative $\mathfrak{m}$-metric space with Applications to the System of Multiplicative Integral Equations and Numerical Results. Hacettepe Journal of Mathematics and Statistics 1–12.
IEEE K. Yadav and D. Kumar, “Common Fixed Point Theorems in multiplicative $\mathfrak{m}$-metric space with Applications to the System of Multiplicative Integral Equations and Numerical Results”, Hacettepe Journal of Mathematics and Statistics, pp. 1–12, August 2024, doi: 10.15672/hujms.1336232.
ISNAD Yadav, Kapil - Kumar, Deepak. “Common Fixed Point Theorems in Multiplicative $\mathfrak{m}$-Metric Space With Applications to the System of Multiplicative Integral Equations and Numerical Results”. Hacettepe Journal of Mathematics and Statistics. August 2024. 1-12. https://doi.org/10.15672/hujms.1336232.
JAMA Yadav K, Kumar D. Common Fixed Point Theorems in multiplicative $\mathfrak{m}$-metric space with Applications to the System of Multiplicative Integral Equations and Numerical Results. Hacettepe Journal of Mathematics and Statistics. 2024;:1–12.
MLA Yadav, Kapil and Deepak Kumar. “Common Fixed Point Theorems in Multiplicative $\mathfrak{m}$-Metric Space With Applications to the System of Multiplicative Integral Equations and Numerical Results”. Hacettepe Journal of Mathematics and Statistics, 2024, pp. 1-12, doi:10.15672/hujms.1336232.
Vancouver Yadav K, Kumar D. Common Fixed Point Theorems in multiplicative $\mathfrak{m}$-metric space with Applications to the System of Multiplicative Integral Equations and Numerical Results. Hacettepe Journal of Mathematics and Statistics. 2024:1-12.