Sentence examples for sum of contraction from inspiring English sources
In 1971, Cain and Nashed [23] generalized to locally convex spaces a well known fixed point theorem of Krasnoselskii for a sum of contraction and compact mappings in Banach spaces.
Recently, Rao [26] obtained a probabilistic version of Krasnoselskii's theorem which is a sum of a contraction random operator and a compact random operator on a closed convex subset of a separable Banach space.
For this end, we transform problem (1 - 2) to an integral equation that we write as a sum of a contraction and a completely continuous operator; then we use Krasnoselskii's fixed point theorem to prove the existence of nontrivial solutions.
Sixty years ago, Krasnosel'skii [1, 2] observed that many problems in analysis can be formulated abstractly as a mapping which is the sum of a contraction and a compact map.
Echocardiographic measures of right ventricular function include the Tei index which is the sum of the isovolumetric contraction time and isovolumetric relaxation time divided by the ejection time.
Right ventricular Tei index is equal to the sum of the isovolumic contraction time and the isovolumic relaxation time, divided by ejection time.
Right ventricular Tei index was calculated as the sum of the isovolumic contraction time and the isovolumic relaxation time, divided by ejection time.
Interval " a", from the cessation to onset of mitral inflow, is equal to the sum of the isovolumic contraction time, ET and isovolumic relaxation time.
The Tei index for the right ventricle was calculated by dividing the sum of RV isovolumetric contraction and relaxation time by RV ejection time, as has been described previously [ 15].
Recently, Vijayaraju [28] proved a random fixed point theorem for a sum of a 1-set-contraction and a compact (completely continuous) mapping and has received much attention in recent years (see, e.g., [29 33]).
The motility index was calculated as described by Camilleri et al.: MI = Ln(sum of pressure amplitudes * number of contractions +1) [ 9].
