A Common Fixed Point for a Family of Compatible Maps Involving a Quasi-contraction on Cone Metric Spaces

Hassen Aydi

Abstract


In this paper, we establish a common fixed point result for a family of compatible maps satisfying a quasi-contraction on a complete cone metric space without assumption of normality condition of the cone. The result is an extension of a recent paper of Jankovic et al. [S. Jankovic, Z. Golubovic, S. Radenovic, Compatible and weakly compatible mappings in cone metric spaces, Math. Comput. Modelling 52 (2010) 1728--1738].

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|