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We also obtain Painleve-Kuratowski upper convergence when the sequence of mappings converges graphically.

The closedness and Painleve-Kuratowski upper convergence of the solution sets are obtained.

In Section 3, we investigate Painleve-Kuratowski upper convergence and the closedness of the solution sets.

We first discuss Painleve-Kuratowski upper convergence and closedness of the solution sets.

In this section, our focus is on the Painleve-Kuratowski upper convergence and the closedness of the solution sets.

We also notice that the Painleve-Kuratowski upper convergence of the solution sets of is obtained under weaker assumptions than these assumed in [10, Proposition 2.1] for obtaining convergence of the solution sets.

Observed from the upper left convergence graph, "best" convergence curve sharply drops down in initial stage; it becomes gentle from 800 function evaluations (FEs) to 1800 FEs.

Since P and λ are upper bounded, convergence is guaranteed.

Upper bound convergence of the non-dimensional frequencies to at least four significant figures is demonstrated.

Upper bound convergence of the non-dimensional frequencies to the exact values within at least four significant figures is demonstrated.

Upper bound convergence of the first eight frequency parameters accurate to at least five significant figures is presented.