Please give an appropriate and mathematically justified answer.
- Variational Inequality problems
- Variational Inclusion problems
Variational inclusions are more general than variational inequalities. Variational inequalities are associated with a "cost mapping" (replacing the gradient of an objective function - if you want to connect this to optimization) that is continuous, and with a feasible region that is non-empty, closed and convex.
Variational inclusions, however, are more general in that they may involve (typically monotone) point-to-set cost mappings. This also means that numerically solving the latter is rather a lot more complex.
Of course, Variational inclusion Problems are more general setting than Variational Inequality problems.
Mr. Ahmadullah
How can you say that brother gave a mathematical justification, please.
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