Coupled fixed point theorems for F-invariant set
Abstract
In this paper, we extend and complement some recent results of coupled fixed point theorems of Luong and Thuan in [N. V. Luong, N. X. Thuan, Coupled fixed point theorems for mixed monotone mappings and an application to integral equations, Computers and Mathematics with Applications 62 (2011) 4238-4248.] by weaken the concept of the mixed monotone property. The example of a nonlinear contraction mapping which is not applied by the results of Luong and Thuan, but can be applied to our results is given. The presented results extend and complement results of Luong and Thuan and some known existence results from the literature.
Keywords:
Coupled fixed points / F-invariant sets / partially order metric spacesSource:
Applied Mathematics & Information Sciences, 2013, 7, 1, 247-255Publisher:
- NATURAL SCIENCES PUBLISHING CORP-NSP
Collections
Institution/Community
Mašinski fakultetTY - JOUR AU - Sintunavarat, Wutiphol AU - Radenović, Stojan AU - Golubović, Zorana AU - Kumam, Poom PY - 2013 UR - https://machinery.mas.bg.ac.rs/handle/123456789/5547 AB - In this paper, we extend and complement some recent results of coupled fixed point theorems of Luong and Thuan in [N. V. Luong, N. X. Thuan, Coupled fixed point theorems for mixed monotone mappings and an application to integral equations, Computers and Mathematics with Applications 62 (2011) 4238-4248.] by weaken the concept of the mixed monotone property. The example of a nonlinear contraction mapping which is not applied by the results of Luong and Thuan, but can be applied to our results is given. The presented results extend and complement results of Luong and Thuan and some known existence results from the literature. PB - NATURAL SCIENCES PUBLISHING CORP-NSP T2 - Applied Mathematics & Information Sciences T1 - Coupled fixed point theorems for F-invariant set EP - 255 IS - 1 SP - 247 VL - 7 DO - DOI10.12785/amis/070131 ER -
@article{ author = "Sintunavarat, Wutiphol and Radenović, Stojan and Golubović, Zorana and Kumam, Poom", year = "2013", abstract = "In this paper, we extend and complement some recent results of coupled fixed point theorems of Luong and Thuan in [N. V. Luong, N. X. Thuan, Coupled fixed point theorems for mixed monotone mappings and an application to integral equations, Computers and Mathematics with Applications 62 (2011) 4238-4248.] by weaken the concept of the mixed monotone property. The example of a nonlinear contraction mapping which is not applied by the results of Luong and Thuan, but can be applied to our results is given. The presented results extend and complement results of Luong and Thuan and some known existence results from the literature.", publisher = "NATURAL SCIENCES PUBLISHING CORP-NSP", journal = "Applied Mathematics & Information Sciences", title = "Coupled fixed point theorems for F-invariant set", pages = "255-247", number = "1", volume = "7", doi = "DOI10.12785/amis/070131" }
Sintunavarat, W., Radenović, S., Golubović, Z.,& Kumam, P.. (2013). Coupled fixed point theorems for F-invariant set. in Applied Mathematics & Information Sciences NATURAL SCIENCES PUBLISHING CORP-NSP., 7(1), 247-255. https://doi.org/DOI10.12785/amis/070131
Sintunavarat W, Radenović S, Golubović Z, Kumam P. Coupled fixed point theorems for F-invariant set. in Applied Mathematics & Information Sciences. 2013;7(1):247-255. doi:DOI10.12785/amis/070131 .
Sintunavarat, Wutiphol, Radenović, Stojan, Golubović, Zorana, Kumam, Poom, "Coupled fixed point theorems for F-invariant set" in Applied Mathematics & Information Sciences, 7, no. 1 (2013):247-255, https://doi.org/DOI10.12785/amis/070131 . .