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verifies conditions (2.1) and (2.2).

verifies conditions (2.1) and (2.2). (ii) The local operators are defined by   (iii) If and, there are well-known conditions on the weights u, v, and {u n }, {v n } that characterize the boundedness of and (M - )d (see, for instance [8 10]).  .

Proof (a) Let us consider a correspondence T which verifies condition ( P ).

Next we verify conditions (1)–(3) in turn.

The rd is used to verify conditions.

We need only to verify conditions (ii) and (iii).

It is easy to verify conditions of Theorem 4.38.

Now, we only verify conditions of ((H_{2})) in Theorem 2.

One can easily verify conditions (H3) and (H4).

In order to prove Theorem 1.2, we only need to verify conditions (B1 - B3) in Lemma 2.3.

Step 2. In the following, we will verify conditions (i - iii) of Lemma 2.2.