Sentence examples for contraction in space from inspiring English sources

Its contraction in space after the Arab conquests of the 7th century, which cut off the more distant and ethnically differentiated provinces of Syria, Palestine, and Egypt, made it a relatively compact geographical entity.

This scheme has a better convergence rate than those of (1.1) and (1.2) for a contraction in metric space (see [9]).

Before proving our fixed point theorems, we first introduce a new concept of contraction in PGM-spaces, which is a corresponding version of Sehgal's contraction in PM-spaces.

Alber and Guerre-Delabriere [1] introduced the concept of weak contraction in Hilbert spaces.

In 1997, Alber and Guerre-Delabriere [15] have introduced the concept of weak contraction in Hilbert spaces.

Heat treatment through the temperature range 1500 2800 °C resulted in a relatively minor contraction in interlayer spacing d002 from 0.3381 to 0.3363 nm.

Alber and Guerre-Delabriere in [34] suggested a generalization of the Banach contraction mapping principle by introducing the concept of a weak contraction in Hilbert spaces.

For k = 1 in Theorem 2.1, we get a fixed point result for an ordered g-weak contraction in metric spaces.

In this paper, we define a weaker Meir-Keeler type function and establish the fixed point theorems for a weaker Meir-Keeler type -set contraction in metric spaces.

We define a weaker Meir-Keeler type function and establish the fixed point theorems for a weaker Meir-Keeler type -set contraction in metric spaces.

In the next section, we will prove the existence fixed points theorems for nonlinear contractions in modular space.