Fixed points of generalized rational \((\alpha,\beta,Z)\)-contraction mappings under simulation functions
Volume 24, Issue 4, pp 345--357
http://dx.doi.org/10.22436/jmcs.024.04.07
Publication Date: April 19, 2021
Submission Date: October 17, 2020
Revision Date: December 26, 2020
Accteptance Date: March 18, 2021
Authors
Thounaojam Stephen
- Department of Mathematics, National Institute of Technology, Manipur, Imphal, 795004, India.
Yumnam Rohen
- Department of Mathematics, National Institute of Technology, Manipur, Imphal, 795004, India.
Abstract
In this paper, we combine the \((\alpha,\beta)\)-admissible mappings and simulation function in order to obtain the generalized form of rational \((\alpha,\beta,Z)\)-contraction mapping. Further this concept is used in the setting of \(b\)-metric space in order to obtain some fixed point theorems. Suitable examples are also established to verify the validity of the results obtained.
Share and Cite
ISRP Style
Thounaojam Stephen, Yumnam Rohen, Fixed points of generalized rational \((\alpha,\beta,Z)\)-contraction mappings under simulation functions, Journal of Mathematics and Computer Science, 24 (2022), no. 4, 345--357
AMA Style
Stephen Thounaojam, Rohen Yumnam, Fixed points of generalized rational \((\alpha,\beta,Z)\)-contraction mappings under simulation functions. J Math Comput SCI-JM. (2022); 24(4):345--357
Chicago/Turabian Style
Stephen, Thounaojam, Rohen, Yumnam. "Fixed points of generalized rational \((\alpha,\beta,Z)\)-contraction mappings under simulation functions." Journal of Mathematics and Computer Science, 24, no. 4 (2022): 345--357
Keywords
- Fixed points
- generalized rational \((\alpha,\beta,Z)\)-contraction mapping
- \((\alpha,\beta)\)-admissible mappings
- simulation function
- \(b\)-metric space
MSC
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