The solutions of a class of operator equations based on different inequality
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Authors
Xiaofang Yan
- Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.
Chuanxi Zhu
- Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.
Zhaoqi Wu
- Department of Mathematics, Nanchang University, Nanchang, 330031, P. R. China.
Abstract
In this paper, by using random fixed point index theory, some new boundary conditions based on strictly
convex or strictly concave functions are established and some new theorems for the solutions of a class
of random semi-closed 1-set-contractive operator equations \(A(\omega; x) = \mu x\) are obtained, which extend and
generalize some corresponding results of Wang [S. Wang, Fixed Point Theory Appl., 2011 (2011), 7 pages].
Finally, an application to a class of random nonlinear integral equations is given to illustrate the usability
of the obtained results.
Share and Cite
ISRP Style
Xiaofang Yan, Chuanxi Zhu, Zhaoqi Wu, The solutions of a class of operator equations based on different inequality, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 2, 370--376
AMA Style
Yan Xiaofang, Zhu Chuanxi, Wu Zhaoqi, The solutions of a class of operator equations based on different inequality. J. Nonlinear Sci. Appl. (2016); 9(2):370--376
Chicago/Turabian Style
Yan, Xiaofang, Zhu, Chuanxi, Wu, Zhaoqi. "The solutions of a class of operator equations based on different inequality." Journal of Nonlinear Sciences and Applications, 9, no. 2 (2016): 370--376
Keywords
- Real Banach space
- random semi-closed 1-set-contractive operator
- random topological degree.
MSC
References
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