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Composite schemes for variational inequalities over equilibrium problems and variational inclusions

Composite schemes for variational inequalities over equilibrium problems and variational inclusions

Abstract Let C be a nonempty closed convex subset of a Hilbert space H , and let <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>T</mml:mi> <mml:mo>:</mml:mo> <mml:mi>H</mml:mi> <mml:mo>→</mml:mo> <mml:mi>H</mml:mi> </mml:math> be a nonlinear mapping. It is well known that the following classical variational inequality has been applied in many areas of applied mathematics, modern physical …