Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces
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Authors
Dezhou Kong
- College of Information Science and Engineering, Shandong Agricultural University, Taian, 271018, Shandong, China.
- School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, China.
Lishan Liu
- School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, Shandong, China.
- Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia.
Yonghong Wu
- Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia.
Abstract
In this paper, we first discuss properties of the cone in normed product spaces. As applications, we then derive some
coupled best approximation and coupled coincidence best approximation point results for discontinuous operators in partially
ordered Banach spaces. Some of our results generalize those obtained in earlier work.
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ISRP Style
Dezhou Kong, Lishan Liu, Yonghong Wu, Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 2946--2956
AMA Style
Kong Dezhou, Liu Lishan, Wu Yonghong, Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces. J. Nonlinear Sci. Appl. (2017); 10(6):2946--2956
Chicago/Turabian Style
Kong, Dezhou, Liu, Lishan, Wu, Yonghong. "Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 2946--2956
Keywords
- Coupled fixed point
- best approximation
- metric projection
- discontinuous operator
- mixed monotone
- Banach space.
MSC
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