Common Fixed Point in Cone Metric Space for s−φ-contractive

Huang and Zhang have introduced the concept of cone metric space where the set of real numbers is replaced by an ordered Banach space. Shojaei has obtained points of coincidence and common fixed points for s-Contraction mappings which satisfy generalized contractive type conditions in a complete cone metric space. In this paper, the notion of complete cone metric space has been introduced. We have defined s−ϕ-contractive and obtained common fixed point theorem for a mapping f,s which satisfies s−ϕ-contractive.