Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications
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Authors
Huaping Huang
- School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China.
Stojan Radenović
- Faculty of Mathematics and Information Technology, Dong Thap University, Dong Thap, Viet Nam.
Abstract
In this paper, we introduce the concept of cone b-metric space over Banach algebra and present some common
fixed point theorems in such spaces. Moreover, we support our results by two examples. In addition, some
applications in the solutions of several equations are given to illustrate the usability of the obtained results.
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ISRP Style
Huaping Huang, Stojan Radenović, Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 5, 787--799
AMA Style
Huang Huaping, Radenović Stojan, Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications. J. Nonlinear Sci. Appl. (2015); 8(5):787--799
Chicago/Turabian Style
Huang, Huaping, Radenović, Stojan. "Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications." Journal of Nonlinear Sciences and Applications, 8, no. 5 (2015): 787--799
Keywords
- Generalized Lipschitz constant
- cone b-metric space over Banach algebra
- c-sequence
- weakly compatible.
MSC
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