Common fixed point theorems of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras and applications


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


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