The objective of this paper is to obtain sufficient conditions for the existence of fixed point of $T$-Zamfirescu in complete cone metric spaces and we prove fixed point theorem for an extended Kannan and Chatterjea type $T$-contraction mapping in a cone metric space. Our results generalize recent results existing in the literature of $T$-Zamfirescu mappings in cone metric space.
Keywords and Phrases
Cone Metric Space, $T$-Zamfirescu mapping, Cone normed space.
A.M.S. subject classiﬁcation
47H10, 54H25, 46B25.