Two new forms of contra-somewhat continuity are introduced. Characterizations and the basic properties of both forms investigated.

ABSTRACT. A weak form of contra-continuity, called subcontra-continuity, is introduced. It is shown that subcontra-continuity is strictly weaker than contra-continuity and stronger than both subweak continuity and sub-LC-continuity. Subcontra-continuity is used to improve several results in the literature concerning compact spaces.

A new form of contra-continuity, called contra p s -continuity, is introduced. It is shown that this class of functions is strictly between contracomplete continuity and contra precontinuity. Characterizations and properties of these functions are established. Relationships between these functions and other related classes of functions are also developed.

ABSTRACT. The properties of the collection of complements of @-closures of sets in a topological space are investigated in %his paper. A strong continuity condition is defined in terms of these sets. Some applications to H-closed spaces and Katetov spaces are given.

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