Common fixed point theorems for Ćirić type mappings in b-metric spaces without any completeness assumption
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Authors
Borimandafu Wu
- School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China.
Fei He
- School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China.
Tao Xu
- School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China.
Abstract
In this paper, we establish some common fixed point theorems for four mappings satisfying Ćirić type contractive condition
in b-metric spaces without any completeness assumption. Our results improve and generalize the results in the very recent
papers ([Z.-Z. Yang, H. Sadati, S. Sedghi, N. Shobe, J. Nonlinear Sci. Appl., 8 (2015), 1022–1031], [V. Ozturk, S. Radenović,
SpringerPlus, 5 (2016), 10 pages]). Particularly, the contractive constant \(\frac{k}{b^2}\) in the result of Yang et al. is enlarged to \(\frac{k}{b}\)
. Some
examples are provided to support our results.
Share and Cite
ISRP Style
Borimandafu Wu, Fei He, Tao Xu, Common fixed point theorems for Ćirić type mappings in b-metric spaces without any completeness assumption, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 3180--3190
AMA Style
Wu Borimandafu, He Fei, Xu Tao, Common fixed point theorems for Ćirić type mappings in b-metric spaces without any completeness assumption. J. Nonlinear Sci. Appl. (2017); 10(6):3180--3190
Chicago/Turabian Style
Wu, Borimandafu, He, Fei, Xu, Tao. "Common fixed point theorems for Ćirić type mappings in b-metric spaces without any completeness assumption." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 3180--3190
Keywords
- Common fixed point
- Ćirić type contractive mapping
- (CLRS)-property
- b-metric space.
MSC
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