In [4], Dontchev introduced and investigated a new notion of continuity called contracontinuity. Recently, Jafari and Noiri [8-10] introduced new generalizations of contra-continuity called contra-˛-continuity, contra-super-continuity and contra-precontinuity. Recently, Ekici and Noiri [6] have introduced a new class of continuity called contra ı-precontinuity as a generalization of contra-continuity. In this paper, we obtain some more properties of contra ı-precontinuous functions.
A Banach space X is called a twisted sum of the Banach spaces Y and Z if it has a subspace isomorphic to Y in such a way that the corresponding quotient is isomorphic to Z. In this paper we study twisted sums of Banach spaces with either have the Dunford-Pettis property, are co-saturated or /i-saturated. Amongst other things, we show that every Banach space is a complemented subspace of a twisted sum of two Banach spaces with the Dunford-Pettis property.
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