Sentence examples for based upon the fixed from inspiring English sources

The proof of our main results is based upon the fixed point index theorem in cones.

The arguments are based upon the fixed point theorem for the special cone.

Under the condition that is nonnegative, the existence and uniqueness of unbounded positive solution are obtained based upon the fixed point index theory and Banach contraction mapping principle.

Jiang et al.[8] presented the optimal existence theory for single and multiple positive periodic solutions to a class of functional difference equations based upon the fixed point theorem in cones.

The proof is based upon the Avery and Peterson fixed point theorem.

The first existence result is based upon the Schauder fixed point theorem.

The arguments were based upon the fixed-point principle in cone for strict set contraction operators.

All of these results are based upon the fixed-point index theory, the fixed-point theorems and the fixed-point theory in cone for strict set contraction operator.

The CotQuest [ 34] nonlinear regression model providing the best fit of the renaturation kinetics data was a three-component fit in which outliers had been removed (using CotQuest's built in outlier detection) and the reassociation rate (k) of the slowest reassociating component had been fixed based upon the genome size of bald cypress.

Our approach is based upon the techniques of noncompactness measures and the fixed point theory.

We assigned the individual date of fledging based upon GPS fixes during the first weeks after tagging.