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Multivariational Inequalities and Operator Inclusions in Banach Spaces with Mappings of the Class (S)+

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We prove theorems on the existence of solutions of variational inequalities and operator inclusions in Banach spaces with multivalued mappings of the class (S)+. We justify the method of penalty operators for variational inequalities.

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Mel'nik, V.S. Multivariational Inequalities and Operator Inclusions in Banach Spaces with Mappings of the Class (S)+. Ukrainian Mathematical Journal 52, 1724–1736 (2000). https://doi.org/10.1023/A:1010431221039

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  • DOI: https://doi.org/10.1023/A:1010431221039

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