Sentence examples for 1 corollary from inspiring English sources

Taking (m=0) in Theorem 1, Corollary 2 follows.

Letting n = 1, Corollary 3.6 reduces to Corollary 3.5.

(1) Corollary 2.2, in part, is a generalization of Theorem 3.9 and Theorem 3.15 of [13].

Remark 5 For | a | < 1, Corollary 3.4 is the same as Theorem 3.1 of Hu [1].

Using Theorem 1, Corollary 1 can be easily demonstrated (refer to [26] for the proof).

For a = b = 1 and n = 1, Corollary 4.8 yields the main theorem in [17].

Consequently, S + R has SVEP at 0 [[1], Corollary 2.26].

The following lemma is cited from [1], Corollary 4.7.

When (p=1), Corollary 1 is reduced to Corollary 4.2 in [1].

This extends the result of [[1], Corollary 4.5] to the case p ≠ q.

If (b=1), Corollary 3.7 recovers the Dass-Gupta fixed point theorem [18].