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Galoitica: Journal of Mathematical Structures and Applications

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Galoitica: Journal of Mathematical Structures and Applications
Full Length Article

Volume 13 • Issue 2 • PP: 25–27 • 2026

Generalization of Chatterjea Fixed Point Theorem in b-Metric Spaces

Suham M. Ali 1*
1Department of Mathematics, College of Science, University of Kirkuk, Kirkuk, Iraq
* Corresponding Author.
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© 2026 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

Received: October 09, 2025 Revised: December 16, 2025 Accepted: January 23, 2026

Abstract

In this paper, we generalize Chatterjea’s fixed point theorem in b-metric spaces by using a subadditive altering distance function. We also present corollaries and examples as applications of the theorem.

Keywords

Fixed point theory b-metric space Subadditive altering distance function

References

[1] S. K. Chatterjea, “Fixed-point theorems,” Doklady na Bolgarskata Akademiya na Naukite, vol. 25, no. 6, pp. 727–730, 1972.

[2] I. A. Bakhtin, “The contraction principle in quasimet-ric spaces,” Functional Analysis and Its Applications, vol. 30, pp. 26–37, 1989.

[3] S. Czerwik, “Contraction mappings in b-metric spaces,” Acta Mathematica et Informatica Universitatis Os-traviensis, vol. 1, no. 1, pp. 5–11, 1993.

[4] M. Jovanovi´c, Z. Kadelburg, and S. Radenovi´c, “Com-mon fixed point results in metric-type spaces,” Fixed Point Theory and Applications, vol. 2010, p. 978121, 2010.

[5] M. Khamsi, “Remarks on cone metric spaces and fixed point theorems of contractive mappings,” Fixed Point Theory and Applications, vol. 2010, p. 315398, 2010.

[6] M. Kir and H. Kiziltunc, “On some well known fixed point theorems in b-metric spaces,” Turkish Journal of Analysis and Number Theory, vol. 1, no. 1, pp. 13–16, 2013.

[7] Z. Ma and L. Jiang, “C*-algebra-valued b-metric spaces and related fixed point theorems,” Fixed Point Theory and Applications, vol. 2015, p. 222, 2015.

[8] W. Sintunavarat, S. Plubtieng, and P. Katchang, “Fixed point result and applications on a b-metric space en-dowed with an arbitrary binary relation,” Fixed Point Theory and Applications, vol. 2013, p. 296, 2013.

[9] A. Swati, K. Qureshi, and J. Nema, “A fixed point theo-rem for b-metric space,” International Journal of Pure and Applied Mathematical Sciences, vol. 9, no. 1, pp. 45–50, 2016.

[10] W. Shatanawi, K. Abodayeh, and A. Mukheimer, “Some fixed point theorems in extended b-metric spaces,” UPB Scientific Bulletin, Series A, vol. 80, pp. 71–78, 2018.

[11] M. Boriceanu, M. Bota, and A. Petru¸sel, “Multivalued fractals in b-metric spaces,” Central European Journal of Mathematics, vol. 8, no. 2, pp. 367–377, 2010.

[12] E. Karapinar and H. K. Nashine, “Fixed point theorem for cyclic chatterjea type contractions,” Journal of Ap-plied Mathematics, vol. 2012, p. 165698, 2012.

[13] S. H. Khan, M. Abbas, and T. Nazir, “Fixed point results for generalized chatterjea type contractive conditions in partially ordered G-metric spaces,” The Scientific World Journal, vol. 2014, p. 341751, 2014.

[14] C. B. Ampadu, “Chatterjea-type contraction mapping theorem for four self-mappings in cone pentagonal met-ric space,” Earthline Journal of Mathematical Sciences, vol. 15, no. 2, pp. 169–180, 2025.

[15] B.-C. Anghelina, “Some fixed point theorems in the framework of f -metric spaces,” Fixed Point Theory, vol. 26, no. 2, pp. 343–358, 2025.

[16] P. L. Powar and G. R. Sahu, “Common fixed point the-orem by subadditive altering distance function for se-quence of mappings,” Scientific and Academic Publish-ing, vol. 3, pp. 190–193, 2013.

Cite This Article

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format_quote
M. Ali, Suham . "Generalization of Chatterjea Fixed Point Theorem in b-Metric Spaces." Galoitica: Journal of Mathematical Structures and Applications, vol. 13, no. 2, 2026, pp. 25–27. DOI: https://doi.org/10.54216/GJMSA.130205
M. Ali, S. (2026). Generalization of Chatterjea Fixed Point Theorem in b-Metric Spaces. Galoitica: Journal of Mathematical Structures and Applications, Volume 13(Issue 2), 25–27. DOI: https://doi.org/10.54216/GJMSA.130205
M. Ali, Suham . "Generalization of Chatterjea Fixed Point Theorem in b-Metric Spaces." Galoitica: Journal of Mathematical Structures and Applications Volume 13, no. Issue 2 (2026): 25–27. DOI: https://doi.org/10.54216/GJMSA.130205
M. Ali, S. (2026) 'Generalization of Chatterjea Fixed Point Theorem in b-Metric Spaces', Galoitica: Journal of Mathematical Structures and Applications, Volume 13(Issue 2), pp. 25–27. DOI: https://doi.org/10.54216/GJMSA.130205
M. Ali S. Generalization of Chatterjea Fixed Point Theorem in b-Metric Spaces. Galoitica: Journal of Mathematical Structures and Applications. 2026;Volume 13(Issue 2):25–27. DOI: https://doi.org/10.54216/GJMSA.130205
S. M. Ali, "Generalization of Chatterjea Fixed Point Theorem in b-Metric Spaces," Galoitica: Journal of Mathematical Structures and Applications, vol. Volume 13, no. Issue 2, pp. 25–27, 2026. DOI: https://doi.org/10.54216/GJMSA.130205
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