A common fixed point theorem in cone metric spaces. (English) Zbl 1198.54075

Huang, Xianjiu; Zhu, Chuanxi; Wen, Xi

Int. J. Math. Anal., Ruse 4, No. 13-16, 721-726 (2010).

Summary: We prove a common fixed point theorem for a sequence of mappings in cone metric spaces. This result offers a generalization of Huang and Zhang’s theorem in [L. D. Huang and X. Zhang, J. Math. Anal. Appl. 332, No. 2, 1468–1476 (2007; Zbl 1118.54022)]. An example to support our result is presented.

MSC:

54H25	Fixed-point and coincidence theorems (topological aspects)
54E40	Special maps on metric spaces
54E35	Metric spaces, metrizability

Keywords:

cone metric spaces; common fixed point; sequence

Citations:

Zbl 1118.54022