Sentence examples for bifunction depend on both from inspiring English sources

We presented the upper semicontinuity, closedness, and the lower semicontinuity of the set-valued solution mapping for a parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction depend on both the decision variable and the parameters.

Motivated by the mentioned works, this paper is devoted to the study of closedness upper and lower of the solution map for a parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction depend on both the decision variable and the parameters.

In Section 2, we first introduce the parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction depend on both the decision variable and the parameters, and we recall some basic definitions on semicontinuity of set-valued maps.

This paper is mainly concerned with the upper semicontinuity, closedness, and the lower semicontinuity of the set-valued solution mapping for a parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction depend on both the decision variable and the parameters.

Next, we shall introduce and study a problem where both the two constraint maps and the bifunction depend on parameters.

Most sites depend on both mechanised and human observation.

Many perturbations depend on both present and past status.

Progress depends on both.

A good relationship depends on both people.

It depends on both the species and the contamination.

Organizational success depends on both separating and connecting.