Proving fixed point theorems in D-metric spaces via general existence principles

in this paper two basic fixed point theorems for selfmaps of a D-metric space are proved using general existence principles. These theorems are then used to obtain several interesting fixed point theorems, which include some well-known results of Dhage [4], Rhoades [12], Sehie Park [9] and consequently, about two dozen other fixed point theorems as special cases.