# Cone $A_{b}$-metric space and some coupled fixed point theorems

Volume 24, Issue 3, pp 246--255
Publication Date: March 06, 2021 Submission Date: April 10, 2020 Revision Date: January 28, 2021 Accteptance Date: January 29, 2021
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### Authors

K. Anthony Singh - Department of Mathematics, D. M. College of Science, Dhanamanjuri University, Imphal (Manipur), India. M. R. Singh - Department of Mathematics, Manipur University, Canchipur (Manipur), India. M. Bina Devi - Department of Mathematics, D. M. College of Science, Dhanamanjuri University, Imphal (Manipur), India. Th. Chhatrajit Singh - Department of Mathematics, Manipur Technical University, Takyelpat (Manipur)-795004, India.

### Abstract

In this paper, we extend the definition of coupled fixed point to mappings on cone $A_{b}$-metric space and prove some coupled fixed point theorems. Our results extend the coupled fixed point results of Singh and Singh [K. A. Singh, M. R. Singh, J. Math. Comput. Sci., $\bf 10$ (2020), 891--905] to cone $A_{b}$-metric space. An example is also given to illustrate the validity of our result.

### Share and Cite

##### ISRP Style

K. Anthony Singh, M. R. Singh, M. Bina Devi, Th. Chhatrajit Singh, Cone $A_{b}$-metric space and some coupled fixed point theorems, Journal of Mathematics and Computer Science, 24 (2022), no. 3, 246--255

##### AMA Style

Singh K. Anthony, Singh M. R., Devi M. Bina, Singh Th. Chhatrajit, Cone $A_{b}$-metric space and some coupled fixed point theorems. J Math Comput SCI-JM. (2022); 24(3):246--255

##### Chicago/Turabian Style

Singh, K. Anthony, Singh, M. R., Devi, M. Bina, Singh, Th. Chhatrajit. "Cone $A_{b}$-metric space and some coupled fixed point theorems." Journal of Mathematics and Computer Science, 24, no. 3 (2022): 246--255

### Keywords

• Coupled fixed point
• cone metric space
• cone $A_{b}$-metric space

•  47H10
•  54H25

### References

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