An explicit extragradient algorithm for variational inequality problem
with application to a model in electricity production
In this paper, we introduce a new explicit extragradient algorithm for
solving Variational Inequality Problem (VIP) in Banach spaces. The
proposed algorithm uses a linesearch method whose inner iterations is
independent of any projection onto feasible sets. Under standard and
mild assumption of pseudomonotonicity and uniform continuity of the VIP
associated operator, we establish the strong convergence of the scheme.
Further, we apply our algorithm to find an equilibrium point with
minimal environmental cost for a model in electricity production.
Finally, a numerical result is presented to illustrate the given model.
Our result extends, improves and unifies other related results in the