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Applying Theorem 2.4 with η − 1 = ♯ N , one obtains that.

For, one obtains that (3.5). is equivalent to (3.6).

Therefore, one obtains that is a nonexpansive mapping for all.

Using Lemma 1. 3) again, one obtains that {x n } is a Cauchy sequence in X.

This obtains that B 1 ( S 1 ) is an equicontinuous set in  X 1.

Using the mentioned analogue of [11, Theorem 1.1], one obtains that satisfies property P. We will now prove a generalization and an extension of Fisher's theorem on four mappings from [18] to metric type spaces.

Quinn no longer is concerned to defend it, but he once argued for it in terms of an argument from divine sovereignty: because every state of affairs that obtains that does not involve God's existing depends on God's will, a fortiori every normative state of affairs that does not involve God's existing depends on God's will.

Mr. Romano said he would not provide his own Social Security number online, in case it should fall into the wrong hands, and so his company obtains that information by telephone.

Setting, one obtains that (2.25).

For, one obtains that (2.13).

one obtains that (3.7) holds.