SOME FIXED POINT THEOREMS IN PARTIAL CONE METRIC SPACES UNDER CONTRACTIVE TYPE CONDITIONS.

In the present paper, we establish some fixed point theorems in partial cone metric space using certain contractive type conditions. Also we obtain the well known Banach contraction principle, Kannan contraction, Chatterjae contraction and Reich contraction as corollaries to our results in partial cone metric space. Our results extend and generalize several results from the current existing literature. [ABSTRACT FROM AUTHOR]