New common fixed point theorem for a family of non-self mappings in cone metric spaces :

Huang, Xianjiu ¹   ; Lu, Xinxin ²   ; Wen, Xi ³

¹ Department of Mathematics, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China
² Department of Mathematics, Nanchang University,, , ., Nanchang, 330031, Jiangxi, P. R. China
³ Department of Computer Sciences, Nanchang University, Nanchang, 330031, Jiangxi, P. R. China

Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 4, p. 387-401

Résumé

In this paper, we prove a common fixed point theorem for a family of non-self mappings satisfying generalized contraction condition of Ciric type in cone metric spaces (over the cone which is not necessarily normal). Our result generalizes and extends all the recent results related to non-self mappings in the setting of cone metric space.

Détail

DOI : 10.22436/jnsa.008.04.11

Classification : 47H10, 54H25
Keywords: Cone metric spaces, Common fixed point, Non-self mappings, Contraction condition of Ciric type.

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