Sentence examples for mapping under consideration from inspiring English sources

Moreover, if the mapping under consideration is a self-mapping, a best proximity point reduces to a fixed point.

Indeed, if the mapping under consideration is a self-mapping, a best proximity point becomes a fixed point.

Moreover, if the mapping under consideration is a self-mapping, we note that this best proximity theorem reduces to a fixed point.

It has been observed that continuity is an ideal and important property in the above cited works, while in some applications the mapping under consideration may not be continuous, yet at the same time it may be "not very discontinuous".

Moreover, it is interesting to observe that best proximity theorems also appear as a natural generalization of fixed point theorems, for a best proximity point reduces to a fixed point if the mapping under consideration is a self-mapping.

Such optimal approximate solutions are called best proximity points of the mapping T. Interestingly, best proximity point theorems also serve as a natural generalization of fixed point theorems since a best proximity point becomes a fixed point if the mapping under consideration is a self mapping.

We need not decide that point because the map under consideration here meets the more stringent Amsterdam criteria.

Accepting the copyright statute's application to the map under consideration, the parties present us with a narrow issue: the controversy over Andrien's status as an author.

However, when the terrain map under consideration is large (for example, 30 km × 30 km) and the resolution is high (for example, 30 m), the time incurred by wind field calculation makes its use unfeasible in real emergencies.

"Redistricting is moving fast and, despite the pleas of the public that we all heard when we traveled the state for regional hearings, the map under consideration has not been released to the public nor to members of the State Government and Elections committee.

Theorem 4.2 and Corollary 4.1 improve and extend the main results of [24 26] and [29] in the sense that the mapping T under consideration is hemicontinuous and generalized Lipschitz continuous.