Iterative algorithms for general variational inequalities involving relaxed Lipschitz operators

Abstract

In this paper, we establish and discuss the existence of a solution of the general variational inequality : Find u ∈ H, and ω ∈ T(u) such that h(u) ∈ K and

This variational inequality was studied by Verma [3] in case s ≡ 0, and g ≡ I.

Subject Classification:

• 47J20
• 46E20
• 54A20

Keywords:

• Variational inequality
• Projection operator
• Convergence