A study of coupled fixed point in Multiplicative S-Metric space

Authors

Keywords:

Coupled fixed point, Compatible mappings, Multiplicative S-metric space.

Abstract

This study presents a novel common coupled fixed point result for two mappings in multiplicative S-metric space. The uniqueness of this point is proven through the utilization of a compatibility condition, validated through a provided example. Additionally, an application to integral equations is discussed within this article.

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Author Biographies

Anushree Aserkar, Yeshwantrao Chavan College of Engineering, Nagpur, 441110, India

Assistant Professor,2Department of Applied Mathematics and Humanities

Shiney Chib, Datta Meghe Institute of Management Studies, Nagpur

Professor

References

M. Abbas, A. R. Khan, T. Nazir, Coupled common fixed point results in two generalized metric spaces, Appl. Math.Comput., 217 (2011), 6328–6336.DOI: https://doi.org/10.1016/j.amc.2011.01.006.

M. Abbas, M. Ali Khan, S. Redenovi´c, Common coupled fixed point theorems in cone metric spaces for w-compatible mappings, Appl. Math. Comput., 217 (2010), 195–202.DOI: https://doi.org/10.1016/j.amc.2010.05.042.

Banach, S. Sur les operations dans les ensemble abstraits et leur applications aux equations integrables. Fund. Math. 3 , (1922) , 133-181.

T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal., 65 (2006), 1379–1393.DOI: https://doi.org/10.1016/j.na.2005.10.017.

Y. J. Cho, M. H. Shah, N. Hussain, Coupled fixed points of weakly F-contractive mappings in topological spaces, Appl.Math. Lett., 24 (2011), 1185–1190.DOI: http://dx.doi.org/10.1016/j.aml.2011.02.004.

F. Gu, Some new common coupled fixed point results in two generalized metric spaces, Fixed point Theory Appl., 2013 2013:181.

F. Gu, L. Wang, Some coupled fixed-point theorems in two quasi-partial metric spaces, Fixed point Theory Appl., 2014, DOI:http://dx.doi.org/10.1186/1687-1812-2014-19.

F. Gu, S.-H. Zhou, Coupled common fixed point theorems for a pair of commuting mappings in partially ordered G-metric spaces, Fixed Point Theory Appl., 2013 http://dx.doi.org/10.1186/1687-1812-2013-64.

F. Gu, Y. Yin, A new common coupled fixed point theorem in generalized metric space and applications to integral equations, Fixed Point Theory Appl., 2013 (2013:266).

X.-J. He, M.-M. Song, D.-P. Chen, Common fixed points for weak commutative mappings on a multiplicative metric space, Fixed Point Theory Appl., 2014 (2014:48).

P. Kanchanapally and V. Naga Raju, Common Fixed Point Theorem in a Multiplicative S-Metric Space with an Application, Communications in Mathematics and Applications, Vol. 12, No. 2, pp. 303–314, 2021,ISSN 0975-8607 (online); 0976-5905 (print), DOI: 10.26713/cma.v12i2.1495.

E. Karapınar, Couple fixed point theorems for nonlinear contractions in cone metric spaces, Comput. Math. Appl., 59(2010), 3656–3668.DOI: https://doi.org/10.1016/j.camwa.2010.03.062

V. Lakshmikantham, Lj. Ciric, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal., 70 (2009), 4341–4349.DOI: https://doi.org/10.1016/j.na.2008.09.020.

S. Sedghi, N. Shobe, A. Aliouche: A generalization of fixed point theorem in S- metric spaces. Mat. Vesn. 64, 258–266, (2012).

N. Singh, D. Singh, A. Badal, V. Joshi, Fixed point theorems in complex valued metric spaces, Journal of the Egyptian Mathematical Society, y (2016) 24, 402–409, DOI: http://dx.doi.org/10.1016/j.joems.2015.04.005.

Published

20-02-2025

How to Cite

Gandhi, M., Aserkar, A., & Chib, S. . (2025). A study of coupled fixed point in Multiplicative S-Metric space. Communications in Mathematics and Applications, 15(3). Retrieved from https://rgnpublications.com/journals/index.php/cma/article/view/2779

Issue

Vol. 15 No. 3 (2024)

Section

Research Article

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