Volume 21, Issue 2 (9-2026)
IJMSI 2026, 21(2): 177-196 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Dhariwal R, Kumar D. Some Results on Common Fixed Point Using Expansion Mapping in C*-Algebra Valued Metric Spaces. IJMSI 2026; 21 (2) :177-196
URL: http://ijmsi.ir/article-1-2349-en.html
URL: http://ijmsi.ir/article-1-2349-en.html
Abstract:
In the present manuscript, for four weakly compatible mappings in pairs, some theorems using expansion mappings have been established in C∗-algebra valued metric space. Also, we proved the theorems using (E.A.) property and (CLR) property. The proved results are the extension and generalization of several results available in metric spaces. To support the findings, suitable examples are also discussed.
Keywords: Common fixed points, (E.A.) property, (CLR) property, Weakly compatible mappings, C*-algebra valued metric space.
Type of Study: Research paper |
Subject:
General
References
1. M. Abbas, T. Nazir, S. Radenovi'c, Common Fixed Points of Four Maps in Partially Ordered Metric Spaces, Applied Mathematics Letters, 24, (2011), 1520-1526. [DOI:10.1016/j.aml.2011.03.038]
2. I. Ya Alber, S. Guerre-Delabriere, Principle of Weakly Contractive Maps in Hilbert Spaces, In: Gohberg I., Lyubich Y. (eds) New Results in Operator Theory and Its Applications, Operator Theory: Advances and Application, (1997), 7-22. [DOI:10.1007/978-3-0348-8910-0_2]
3. I. Altun, H. Simsek, Some Fixed Point Theorems on Ordered Metric Spaces and Application, Fixed Point Theory and Application, 2010(1), (2010), p. 621492. [DOI:10.1155/2010/621469]
4. S. Banach, Sur Les Op' erations Dans Les Ensembles Abstraits et Leur Application Aux E'quations Int' egrales, Fundamenta Mathematicae, 3, (1922), 133-181. [DOI:10.4064/fm-3-1-133-181]
5. S. Chandok, D. Kumar, C. Park, C*-Algebra Valued Partial Metric Space and Fixed Point theorems, Proceedings of Indian Academy of Sciences, 129(3), (2019), p. 37. [DOI:10.1007/s12044-019-0481-0]
6. J. Esmaily, S. M. Vaezpour, B. E. Rhoades, Coincidence Point Theorem for Generalized Weakly Contractions in Ordered Metric Spaces, Applied Mathematics and Computation, 219, (2012), 1536-1548. [DOI:10.1016/j.amc.2012.07.054]
7. M. S. Khan, M. Swalesh, S. Sessa, Fixed Points Theorems by Altering Distances Between the Points, Bulletin of Australian Mathematical Society, 30, (1984), 1-9. [DOI:10.1017/S0004972700001659]
8. D. Kumar, D. Rishi, C. Park, J. R. Lee, On Fixed Point in C*-Algebra Valued Metric Spaces Using C*-Class Function, International Journal of Nonlinear Analysis and Applications, 12, (2021), 1157-1161.
9. Z. Ma, L. Jiang, H. Sun, C∗-Algebra Valued Metric Spaces and Related Fixed Point Theorems, Fixed Point Theory and Applications, 206, (2014). [DOI:10.1186/1687-1812-2014-206]
10. P. P. Murthy, K. Tas, U. D. Patel, Common Fixed Point Theorems for Generalized (ϕ, ψ)-Weak Contraction Condition in Complete Metric Spaces, Journal of Inequalities and Applications, 2015(1), (2015), p. 139. [DOI:10.1186/s13660-015-0647-y]
11. Z. Mustafa, M. M. M. Jaradat, A. H. Ansari, Popovi' c B Z, Jaradat H M., C-Class Functions with New Approach on Coincidence Point Results for Generalized (ψ − ϕ)-Weakly Contractions in Ordered b-Metric Spaces, SpringerPlus, 5(1), (2016), p. 802. [DOI:10.1186/s40064-016-2481-1]
12. H. K. Nashine, B. Samet, Fixed Point Results for Mappings Satisfying ψ−ϕ-Weakly Contractive Condition in Partially Ordered Metric Spaces, Nonlinear Analysis, 74, (2011), 2201-2209. [DOI:10.1016/j.na.2010.11.024]
13. B. E. Rhoades, Some Theorems on Weakly Contractive Maps, Nonlinear Analysis, 47, (2001), 2683-2693. [DOI:10.1016/S0362-546X(01)00388-1]
14. F. Skof, Teorema di Punti Fisso per Applicazioni Negli Spazi Metrici, Atti Aooad Soi Torino, 111, (1977), 323-329.
15. Q. Xin, L. Jiang, Z. Ma, Common Fixed Point Theorems in C*-Algebra Valued Metric Spaces, Journal of Nonlinear Sciences and Applications, 9, (2016), 4617-4627. [DOI:10.22436/jnsa.009.06.100]
16. Q. Zhang, Y. Song, Fixed Point Theory for Generalized ϕ-Weak Contractions, Applied Mathematics Letters, 22, (2009), 75-78. [DOI:10.1016/j.aml.2008.02.007]
17. D. El Moutawakil, M. Aamri, Some New Common Fixed Point Theorems Under Strict Contractive Conditions, Journal of Mathematics Analysis and Application, 270, (2002), 181-188. [DOI:10.1016/S0022-247X(02)00059-8]
18. W. Sintunavarat, P. Kumam, Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces, Journal of Applied Mathematics, 2011(1), (2011), p. 637958. [DOI:10.1155/2011/637958]
19. B. Wu, He. Fei, Xu. Tao, Common Fixed Point Theorems for Ciric Type Mappings in b-Metric Spaces Without any Completeness Assumption, Journal of Nonlinear Sciences and Applications, 10, (2017), 3180-3190. [DOI:10.22436/jnsa.010.06.31]
20. S. Jankovi' c, Z. Kadelberg, S. Radenovi' c, On Cone Metric Spaces: A Survey, Nonlinear Analysis: Theory, Methods & Applications, 74(7), (2011), 2591-2601. [DOI:10.1016/j.na.2010.12.014]
21. P. Debnath, N. Konwar, S. Radenovi' c, Metric Fixed Point Theory: Applications in Science, Engineering and Behavioural Sciences, Springer, 2021. [DOI:10.1007/978-981-16-4896-0]
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
