Some Results on Cone Metric Spaces Introduced by Jungck Multistep Iterative Scheme

An abstract metric space was first introduced and studied by the French math-
ematician Frechet [15] in 1906. Many researchers have been generalized the

concept of metric space as cone metric space, semi metric space and quasi
metric space etc, along with the generalization of contraction mappings with
applications (see, [2], [3], [4]). The concept of common fixed point theorems
have been introduced by Jungck [5, 6, 7, 8], which is generalized the Banach

contraction principle [20]. Banach contraction principle is a basic fundamen-
tal theorem for fixed point theory. Further, Jungck [6, 7, 9] introduced weakly

compatible maps in metric space.