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Theorem 3.1 generalizes Theorem 2.1 to two weakly compatible maps thus extending Theorem 1.11.

The achievability follows by extending Theorem 8 to the case of confidential messages.

In the following subsection, we prepare definitions and notations for extending Theorem 2 and Corollary 2 in the 3D space.

Consequently, the likelihood of extending Theorem 4.3 to hyperconvex spaces more general than [0,1] is small.

The purpose of this paper is extending Theorem A to the complete moment convergence, which is a more general version of the complete convergence.

By extending Theorem 2.1 in [21] about BLP and MPCC, we obtain the following results as regards the SOCBLP problem (1) and problem (4).

Theorem 2.17 extends Theorem 1 in [27].

Thus Theorem 3.1 extends Theorem 2.3.

Therefore, this result extends Theorem 1.1.

Thus, our conclusion extends Theorem 1.1.

The following theorem extends Theorem 6 and generalizes Theorem 5.