Sentence examples for contraction condition from inspiring English sources

Generalizations of Jungck's contraction condition have been extensively used to study common fixed points of contractive mappings.

and the contraction condition (2.4), we have (2.20).

However, the contraction condition (1) is not satisfied for d.

First, by using contraction condition (2.4), we have (2.31).

The condition (1.2) is weaker than the contraction condition (1.1).

For (x=4), (y=4), the contraction condition is obvious.

Thus, satisfies the contraction condition (2.5) of Theorem 2.4.

Thus in this case the contraction condition (3.1) holds.

In addition the general contraction condition is compact and abstract.

In this section, we attempt to explore the possibility of improvement in IFS by replacing the Banach contraction condition or the Kannan contraction condition by a more general condition which is called, for convenience, the generalized contraction condition.

One can easily see that such a condition generalizes not only the Banach contraction condition, but also the Kannan contraction condition.