Sentence examples for mapping principle has from inspiring English sources

A contracting mapping theorem on one such space, similar to the classical contracting mapping principle, has been obtained, relying upon the gH-difference.

On the other hand, the contraction mapping principle has been extended by Prešić [20] to mappings T : X k → X satisfying a contractive condition that include (1) in the particular case k = 1.

By the Banach contraction mapping principle, has a unique fixed point, which is a mild solution of (1.1).

By the contraction mapping principle, has a fixed point, which is a solution of (2.7) with on and as.

By a well-known contraction mapping principle, has a unique fixed point in if the condition (4.5) is satisfied.

By the contraction mapping principle, has a unique fixed point in, which is a solution of (1.2) with on and.

In recent times, some extensions of the Banach contractive mapping principle have been introduced using a contractivity condition that involves two different functions.

Fixed point theory and hence the Banach contraction mapping principle have evidently attracted many prominent mathematicians due to their wide application potential.

These two strengths of Banach's contraction mapping principle have attracted attention of many prominent mathematicians who aim to broaden the applications of nonlinear functional analysis via fixed point theory in various quantitative sciences.

In order to get the best proximity point theorems, some new probabilistic contraction mapping principles have been proved.

Thus the Banach contraction mapping principle implies that has a unique fixed point in, and so has a unique fixed point in ; by the definition of has a unique fixed point in, that is, is the unique solution of (1.1).