On coupled fixed point theorem in partially fuzzy Fréchet space
*Ahmed Ghanawi JasimCorresponding authoragjh@utq.edu.iqDepartment of MathematicsCollege of Computer Science and MathematicsUniversity of Thi-QarThi-Qar, IraqView full profile → , Intesar Harbiintesarharbi@gmail.comAl-Qadissiya CenterOpen Education CollegeAl-Qadissiya, IraqView full profile → , Ali Salim Mohammedali.azaidi2000@utq.edu.iqDepartment of MathematicsCollege of Science and MathematicsUniversity of Thi-QarThi-Qar, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 08 May 2024
- Published Online:
- 08 May 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1974
- Pages:
- 787–793
Abstract
Keywords
Subject Classifications
References
[1] A. C. M. Ran and M. C. B. Reurings, “A fixed-point theorem in partially ordered sets and some applications to matrix equations,” Proceedings of the American Mathematical Society, vol. 132, no. 5, pp. 1435–1443 (2004).
[2] J. J. Nieto and R. Rodríguez-López, “Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations,” Order, vol. 22, no. 3, pp. 223–239 (2005).
[3] T. G. Bhaskar and V. Lakshmikantham, “Fixed point theorems in partially ordered metric spaces and applications,” Nonlinear Analysis: Theory, Methods & Applications, vol. 65, no. 7, pp. 1379–1393 (2006).
[4] R. P. Agarwal, M. A. El-Gebeily, and D. O’Regan, “Generalized contractions in partially ordered metric spaces,” Applicable Analysis, vol. 87, no. 1, pp. 109–116 (2008).
[5] S. Chandok, “Some common fixed point theorems for generalized f-weakly contractive mappings,” Journal of Applied Mathematics & Informatics, vol. 29, no. 1-2, pp. 257–265 (2011).
[6] S. Chandok, “Some common fixed point theorems for generalized nonlinear contractive mappings,” Computers & Mathematics with Applications, vol. 62, no. 10, pp. 3692–3699 (2011).
[7] A. G. Jasim, A. A. Sangoor, A. S. Mohammed, T. H. Dahess, and A. H. Kamil, “Common fixed point theorem in fuzzy Fréchet space,” Journal of Interdisciplinary Mathematics, vol. 27, no. 4, pp. 843–847 (2024). [Online]. Available: https://doi.org/10.47974/JIM-1881.
[8] V. Lakshmikantham and L. Ćirić, “Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol. 70, no. 12, pp. 4341–4349 (2009).
[9] A. G. Jasim and Z. D. Al-Nafie, “Fréchet spaces via fuzzy structures,” Journal of Physics: Conference Series, vol. 1818, no. 1, p. 012082, IOP Publishing (2021).
