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Solvability of extended general mixedKeywords: Variational inequalities , nonconvex functions , xed-point problem , convergence , auxiliary principle. Abstract: In this paper, we consider and study a new class of mixed vari-ational inequality, which is called the extended general mixed variational in-equality. We use the auxiliary principle technique to study the existence of asolution of the extended general mixed variational inequality. Several specialcases are also discussed.
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