A variational-like inequality problem

J. Parida, Manas R. Sahoo, Amod Kumar · Bulletin of the Australian Mathematical Society · 1989

Given a closed and convex set K in Rn and two continuous maps F: K → Rn and η: K × K → Rn, the problem considered here is to find ε K such that . We call it a variational-like inequality problem, and develop a theory for the existence of a solution. We also show the relationship between the variational-like inequality problem and some mathematical programming problems.

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