A STUDY ON FIXED POINT THEOREMS OF GENERALIZED CONTRACTIONS IN PARTIALLY ORDERED CONE METRIC SPACES

The present work contains not only an improvement and a generalization of the concept of a partial metric, as it has been presented in a more general setting, a partial cone metric space which is more general than the partial metric space, but also an investigation of some fixed point theorems one of which is also new for a partial metric space. So that one may expect it to be more useful tool in the field of topology in modeling various problems occurring in many areas of science, computer science, information theory, and biological science. On the other hand, a concept of fuzzy partial cone metric is investigated fixed points theorems for fuzzy functions. However due to the change in settings, the definitions and methods of proofs will not always be analogous to those of the present results