Sentence examples for mixed duality from inspiring English sources

A mixed duality for the primal problem is formulated and weak and strong duality theorems between primal and dual problems are explored.

In this paper, we introduce a model of mixed symmetric duality for a class of non-differentiable multiobjective programming problems with multiple arguments.

In [21], Khazafi and Rueda established sufficient optimality conditions and mixed type duality results under generalized V-univexity type I conditions for multiobjective variational programming problems.

Zhou and Wang [11] established a sufficient optimality condition and discussed mixed-type duality for a class of nonlinear interval-valued optimization problems.

Mishra et al [10] gave the weak and strong duality theorems for mixed dual model under the sublinearity.

Mishra et al. [10] gave weak and strong duality theorems for the mixed model.

A mixed dual is proposed and corresponding duality results are obtained.

However, we note that they did not discuss the converse duality theorem for the mixed dual model.

A mixed dual is proposed and well-known duality results are established.

The myth unfolds in three stages: a past period in which there was a separation of the two radically opposed substances Spirit and Matter, Good and Evil, Light and Darkness; a middle period (corresponding to the present) during which the two substances are mixed; and a future period in which the original duality will be reestablished.

A geometric inequality is derived between the volumes of star duality of star bodies and their associated mixed intersection integral.