Common fixed point theorems for four mappings on cone b-metric spaces over Banach algebras
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Authors
Huaping Huang
- School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China.
Songlin Hu
- School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China.
Branislav Z. Popović
- Faculty of Science, University of Kragujevac, Radoja Domanovica 12, 34000 Kragujevac, Serbia.
Stojan Radenović
- Faculty of Mechanical Engineering, University of Belgrade, Kraljice marije 16, 11120 Beograd, Serbia.
- Department of Mathematics, University of Novi Pazar, Novi Pazar, Serbia.
Abstract
The purpose of this paper is to obtain several common fixed point theorems for four mappings in the
setting of cone b-metric spaces over Banach algebras. The obtained results generalize, complement, and
improve some results in the literature. Moreover, we give some supportive examples for our conclusions. In
addition, an application in the solution of a class of equations is given to illustrate the superiority of the
main results.
Share and Cite
ISRP Style
Huaping Huang, Songlin Hu, Branislav Z. Popović, Stojan Radenović, Common fixed point theorems for four mappings on cone b-metric spaces over Banach algebras, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 3655--3671
AMA Style
Huang Huaping, Hu Songlin, Popović Branislav Z., Radenović Stojan, Common fixed point theorems for four mappings on cone b-metric spaces over Banach algebras. J. Nonlinear Sci. Appl. (2016); 9(6):3655--3671
Chicago/Turabian Style
Huang, Huaping, Hu, Songlin, Popović, Branislav Z., Radenović, Stojan. "Common fixed point theorems for four mappings on cone b-metric spaces over Banach algebras." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 3655--3671
Keywords
- Cone b-metric space over Banach algebra
- c-sequence
- weakly compatible
- common fixed point.
MSC
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