Fixed point theorems for two new types of cyclic weakly contractive mappings in partially ordered Menger PM-spaces
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Authors
Wenqing Xu
- Department of Mathematics, Nanchang University, 330031, Nanchang, China.
Chuanxi Zhu
- Department of Mathematics, Nanchang University, 330031, Nanchang, China.
Zhaoqi Wu
- Department of Mathematics, Nanchang University, 330031, Nanchang, China.
Li Zhu
- Department of Mathematics, Nanchang University, 330031, Nanchang, China.
Abstract
In this paper, we introduce the concepts of cyclic weakly (\(\psi,\phi\))-contractive mappings and cyclic weakly
(\(C,\psi,\varphi\))-contractive mappings, and prove some fixed point theorems for such two types of mappings in
complete partially ordered Menger PM-spaces. Some new results are obtained, which extend and generalize
some fixed point results in metric and probabilistic metric spaces. Some examples are given to support our
results.
Share and Cite
ISRP Style
Wenqing Xu, Chuanxi Zhu, Zhaoqi Wu, Li Zhu, Fixed point theorems for two new types of cyclic weakly contractive mappings in partially ordered Menger PM-spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 4, 412--422
AMA Style
Xu Wenqing, Zhu Chuanxi, Wu Zhaoqi, Zhu Li, Fixed point theorems for two new types of cyclic weakly contractive mappings in partially ordered Menger PM-spaces. J. Nonlinear Sci. Appl. (2015); 8(4):412--422
Chicago/Turabian Style
Xu, Wenqing, Zhu, Chuanxi, Wu, Zhaoqi, Zhu, Li. "Fixed point theorems for two new types of cyclic weakly contractive mappings in partially ordered Menger PM-spaces." Journal of Nonlinear Sciences and Applications, 8, no. 4 (2015): 412--422
Keywords
- Menger PM-space
- partially ordered
- cyclic weakly contractive
- fixed point.
MSC
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