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On the Generalized Set-Valued Mixed Variational Inequalities

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Abstract

In this paper, weintroduce and study a new class of the generalized set-valuedmixed variational inequalities. Using the resolvent operatortechnique, we construct a new iterative algorithm for solving thisclass of the generalized set-valued mixed variationalinequalities. We prove the existence of solutions for thegeneralized set-valued mixed variational inequalities and theconvergence of the iterative sequences generated by the algorithm.

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