Common fixed point theorems satisfying rational contraction in partially ordered metric space
*IshaCorresponding authorisha.dimple696@gmail.comDepartment of Mathematics Chandigarh University GharuanMohali, Punjab, 140413, IndiaView full profile → , Naveen Maninaveenmani81@gmail.comDepartment of Mathematics Chandigarh University GharuanDepartment of Mathematics Chandigarh UniversityGharuan, Punjab, 140413, IndiaView full profile → , Anjanaanjanabhardwaj1999@gmail.comDepartment of Mathematics Chandigarh University GharuanMohali, Punjab, 140413, IndiaView full profile → , Reeta Bhardwajbhardwajreeta84@gmail.comDepartment of Mathematics Amity UniversityGurugram, Haryana, 122001, IndiaView full profile →
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- Received:
- 03 Jul 2024
- Published Online:
- 16 Dec 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2040
- Pages:
- 1773–1779
Abstract
Keywords
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References
[1] S. Banach, “Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales,” Fund. Math., vol. 3, pp. 133–181 (1922).
[2] B. K. Dass and S. Gupta, “An extension of Banach contraction principle through rational expression,” Indian J. Pure Appl. Math., vol. 12, pp. 1455–1458 (1975).
[3] G. Jungck, “Commuting mappings and fixed points,” Am. Math. Mon., vol. 83, pp. 261–263 (1976).
[4] L. B. Ciric, “A certain class of maps and fixed point theorems,” Publ. Inst. Math., vol. 20, pp. 73–77 (1976).
[5] B. Fisher, “Common fixed point and constant mapping satisfying rational inequality,” Math. Sem. Notes, Kobe Univ., vol. 5, pp. 319–326 (1977).
[6] S. Sessa, “On a weak commutativity condition of mappings in fixed point considerations,” Publ. I. Math., vol. 32, pp. 149–153 (1982).
[7] V. Gupta, N. Mani, and A. K. Tripathi, “A fixed point theorem satisfying a generalized weak contractive condition of integral type,” Int. J. Math. Anal., vol. 6, pp. 1883–1889 (2012).
[8] V. Gupta and N. Mani, “Existence and uniqueness of fixed point for contractive mapping of integral type,” Int. J. Comput. Sci. Math., vol. 4, pp. 72–83 (2013).
[9] P. Borisut, K. Khammahawong, and P. Kumam, “Fixed point theory approach to existence of solutions with differential equations,” in Differential Equations: Theory and Current Research, IntechOpen, London, UK, vol. 1, pp. 1–34 (2018).
[10] V. Gupta, N. Mani, and N. Sharma, “Fixed-point theorems for weak (ψ, β) mappings satisfying generalized C-condition and its application to boundary value problem,” Comput. Math. Method, vol. 1, pp. 1–12 (2019).
[11] Z. H. Maibed, “The existence and uniqueness of common fixed points in expanded spaces,” J. Interdiscip. Math., vol. 25, no. 8, pp. 2565–2571 (2022).
[12] B. A. Leila, K. Berrah, T. E. Oussaeif, and S. Manro, “Common fixed point theorems in intuitionistic Menger space using property EA and an application to Fredholm integral equations,” J. Interdiscip. Math., vol. 25, no. 8, pp. 2187–2207 (2022).
[13] V. Gupta, G. Jungck, and N. Mani, “Some novel fixed point theorems in partially ordered metric spaces,” AIMS Mathematics, vol. 5, no. 5, pp. 4444–4452 (2020).
[14] M. S. Khan, M. Swaleh, and S. Sessa, “Fixed point theorems by altering distances between the points,” Bull. Aust. Math. Soc., vol. 30, no. 1, pp. 1–9 (1984).




