This paper is to prove a common fixed point theorem for four self maps which generalizes the result of Brian Fisher [1] by a weaker conditions such as weakly compatible mappings and associated sequence instead of commuting mappings and completeness of a metric space.

1. Branciari. A. A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci. 29 (2002), no. 9, 531-536. 2. Cho Y.J., Fixed points in fuzzy metric spaces, J. Fuzzy Math. 5 (4) (1997) 949-962. 3. Grabiec M. , Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems 27 (1988) 385-389. http://dx.doi.org/10.1016/0165-0114(88)90064-4. 4....

In this paper we examine two basic topological properties of partial metric spaces, namely compactness and completeness. Our main result claims that in these spaces is equivalent to sequential compactness. We also show Hausdorff compact are metrizable. the second part article discuss significance bottom sets fixed point theorems for mappings acting spaces.