Study of fixed point theorems using C-class function in partially ordered b-metric spaces
*Megha PingaleCorresponding authormeghakothawade17@gmail.comDepartment of MathematicsSandip UniversityNashik, Maharashtra, 422001, IndiaView full profile → , Renu Patharenupathak380@gmail.comDepartment of MathematicsSandip UniversityNashik, Maharashtra, 422001, IndiaView full profile → , Rahul Shuklarshukla.vnit@gmail.comDepartment of Mathematical Sciences & ComputingWalter Sisulu UniversityMthatha Campus, 5117, South AfricaView full profile → , Naveen Maninaveenmani81@gmail.comDepartment of MathematicsGharuanChandigarh UniversityMohali, Punjab, 140413, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 Jul 2024
- Published Online:
- 16 Dec 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2039
- Pages:
- 1765–1771
Abstract
Keywords
Subject Classifications
References
[1] S. Chandok, V. Ozturk, and S. Radenovic, “On fixed points in the context of b-metric spaces”, Matematicki Vesnik, vol. 71, no. 1-2, pp. 23–30, Mar. (2019).
[2] S. Czerwik, “Contraction mapping in b-metric spaces”, Acta Math. Inform. Univ. Ostraviensis, vol. 1, no. 1, pp. 5–11 (1993).
[3] Y. Errai, E. M. Marhrani, and M. Aamri, “Related fixed-point theorems in partially ordered b-metric spaces and applications to integral equations”, Abstract Appl. Anal., Article ID 6672724, 14 pages (2021).
[4] N. Jamal, T. Abdeljawad, M. Sarwar, N. Mlaiki, and S. K. Panda, “Some valid generalizations of Boyd and Wong inequality and (ψ, ϕ)-weak contraction in partially ordered b-metric spaces”, Int. J. Math. Math. Sci. (2020).
[5] M. S. Khan, “Fixed point theorem by altering distance between the points”, Bull. Aust. Math. Soc., vol. 30, pp. 1–9 (1984).
[6] R. Marr, “Partially ordered space and metric spaces”, Am. Math. Mon., vol. 72, no. 6, pp. 628–631 (1965).
[7] N. S. Rao and K. Kalyani, “Unique fixed point theorems in partially ordered metric spaces”, Heliyon, vol. 6, pp. 55–63 (2020).
[8] 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).
[9] N. M. Nikhate, K. L. Bondar, and B. A. Kiwne, “Fixed point theorems for self-mappings in generalized metric spaces”, J. Dyn. Syst. Geom. Theor., vol. 21, no. 2, pp. 121–126 (2023).
[10] V. Gupta, Ramandeep, N. Mani, and A. Tripathi, “Some fixed point result involving generalized altering distance function”, Procedia Comput. Sci., vol. 79, pp. 112–117 (2016).
[11] V. Bhardwaj, V. Gupta, and N. Mani, “Common fixed point theorems without continuity and compatible property of maps”, Bol. Soc. Paran. Mat., vol. 35, no. 3, pp. 67–77 (2017).
[12] N. Mani, “Generalized Cβψ-rational contraction and fixed point theorem with application to second-order differential equation”, Math. Moravica, vol. 22, no. 1, pp. 43–54 (2018).
[13] A. H. Ansari, V. Gupta, and N. Mani, “C-class functions on some coupled fixed point theorems in partially ordered S-metric spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1694–1708 (2019).
[14] P. Tyagi, S. S. Chauhan (Gonder), N. Mani, and R. Shukla, “F-Modular b-Metric Spaces and Some Analogies of Classical Fixed Point Theorems”, Int. J. Anal. Appl., vol. 22, pp. 66 (2024).




