Common fixed point theorems for Ćirić type mappings in b-metric spaces without any completeness assumption

Volume 10, Issue 6, pp 3180--3190 http://dx.doi.org/10.22436/jnsa.010.06.31

Publication Date: June 25, 2017 Submission Date: March 31, 2016

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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.

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Keywords

• Common fixed point
• Ćirić type contractive mapping
• (CLRS)-property
• b-metric space.

MSC

•  47H10
•  54H25

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