Research Article

Common Fixed Point Theorems Satisfying Implicit Relations on 2-cone Banach Space with an Application

Volume: 7 Number: 1 April 30, 2019
D. Dhamodharan , Nihal Taş , R. Krishnakumar
EN

Common Fixed Point Theorems Satisfying Implicit Relations on 2-cone Banach Space with an Application

Abstract

In this paper, we discuss the existence and uniqueness of common fixed-point theorems satisfying implicit

relations on 2-cone Banach spaces. Modifying obtained new contractive conditions, we also give an

application to the fixed-circle problem.

Keywords

common fixed point,2-cone Banach space,2-cone normed space,fixed circle

References

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  8. [8] Özgür, N. Y. and Ta¸s, N., Some fixed-circle theorems on metric spaces. Bull. Malays. Math. Sci. Soc. (2017). https://doi.org/10.1007/s40840-017-0555-z
  9. [9] Özgür, N. Y. and Ta¸s, N., Fixed-circle problem on S-metric spaces with a geometric viewpoint. arXiv:1704.08838 [10] Özgür, N. Y., Ta¸s, N. and Çelik, U., New fixed-circle results on S-metric spaces. Bull. Math. Anal. Appl. 9 (2017), no. 2, 10-23.
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APA
Dhamodharan, D., Taş, N., & Krishnakumar, R. (2019). Common Fixed Point Theorems Satisfying Implicit Relations on 2-cone Banach Space with an Application. Mathematical Sciences and Applications E-Notes, 7(1), 9-18. https://doi.org/10.36753/mathenot.559237
AMA
1.Dhamodharan D, Taş N, Krishnakumar R. Common Fixed Point Theorems Satisfying Implicit Relations on 2-cone Banach Space with an Application. Math. Sci. Appl. E-Notes. 2019;7(1):9-18. doi:10.36753/mathenot.559237
Chicago
Dhamodharan, D., Nihal Taş, and R. Krishnakumar. 2019. “Common Fixed Point Theorems Satisfying Implicit Relations on 2-Cone Banach Space With an Application”. Mathematical Sciences and Applications E-Notes 7 (1): 9-18. https://doi.org/10.36753/mathenot.559237.
EndNote
Dhamodharan D, Taş N, Krishnakumar R (April 1, 2019) Common Fixed Point Theorems Satisfying Implicit Relations on 2-cone Banach Space with an Application. Mathematical Sciences and Applications E-Notes 7 1 9–18.
IEEE
[1]D. Dhamodharan, N. Taş, and R. Krishnakumar, “Common Fixed Point Theorems Satisfying Implicit Relations on 2-cone Banach Space with an Application”, Math. Sci. Appl. E-Notes, vol. 7, no. 1, pp. 9–18, Apr. 2019, doi: 10.36753/mathenot.559237.
ISNAD
Dhamodharan, D. - Taş, Nihal - Krishnakumar, R. “Common Fixed Point Theorems Satisfying Implicit Relations on 2-Cone Banach Space With an Application”. Mathematical Sciences and Applications E-Notes 7/1 (April 1, 2019): 9-18. https://doi.org/10.36753/mathenot.559237.
JAMA
1.Dhamodharan D, Taş N, Krishnakumar R. Common Fixed Point Theorems Satisfying Implicit Relations on 2-cone Banach Space with an Application. Math. Sci. Appl. E-Notes. 2019;7:9–18.
MLA
Dhamodharan, D., et al. “Common Fixed Point Theorems Satisfying Implicit Relations on 2-Cone Banach Space With an Application”. Mathematical Sciences and Applications E-Notes, vol. 7, no. 1, Apr. 2019, pp. 9-18, doi:10.36753/mathenot.559237.
Vancouver
1.D. Dhamodharan, Nihal Taş, R. Krishnakumar. Common Fixed Point Theorems Satisfying Implicit Relations on 2-cone Banach Space with an Application. Math. Sci. Appl. E-Notes. 2019 Apr. 1;7(1):9-18. doi:10.36753/mathenot.559237