Sentence examples for duality theorems between from inspiring English sources

Now, we obtain the following appropriate duality theorems between (P) and (DM2).

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

Under the assumption of the E-convex conditions, weak and strong duality theorems between the primal and dual problems are established, and we also propose some examples to illustrate our results.

We exhibit several concrete examples and investigate duality theorem between reflection functors.

We prove -weak and -strong duality theorems which hold between SDP and SDD.

Now, we prove ϵ-weak and ϵ-strong duality theorems which hold between (RFP) and (RFD).

Given a primal problem (P), there are many ways to formulate the dual problem (DP) such that the weak and strong duality theorems hold true between the primal and dual pair of problems (P) and (DP).

In this section, we state duality theorems for problems (NFVP)′ and (NFVD ′, which lead to corresponding relations between (NFVP) and (NFVD).

Then, corresponding weak duality, strong duality, and converse duality theorems are established.

Our results are similar to Fefferman′s and Sarasons duality theorems.

They established only weak duality theorems for efficient solutions.