Sentence examples for by using maximal element from inspiring English sources

Then we establish some existence results for solutions of these systems by using maximal element theorems for a family of set-valued maps.

Using maximal element theorem, we prove some existence theorems for the two types of generalized vector quasi-variational-like inequalities with non-monotonicity and non-compactness.

In 1963, Bishop and Phelps [4] proved a fundamental theorem concerning the density of the set of support points of a closed convex subset of a Banach space by using a maximal element principle in certain partially ordered complete subsets of a normed linear space.

The number of subpopulations is identified using the maximal value of this likelihood returned by STRUCTURE.

By using the maximal inequality, we study the convergence properties for -mixing sequences.

Relationships are defined by

By using sub-maximal testing we also decrease the number of excluded participants since a larger number will have the needed qualifications to carry out a sub-maximal test compared to a maximal test.

Now, we are ready to present an existence result of a solution for GSVEP by using the scalarization method and the maximal element lemma, which one can consider as an extension of the well-known results in this area from SVEP to GSVEP.

subject to the state Eq. (1.2) by using Pontryagin's maximal principle.

Peng [9], Peng and Yang [10] introduced a system of quasivariational inequality problems and proved its existence theorem by maximal element theorems.

This algorithm determines the pairs of coupled reactions by computing the maximal element in suitably defined lattices.