2019
Том 71
№ 11

All Issues

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

Mel'nik V. S.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 52 (2000), no. 11, pp 1724-1736.

Citation Example: Mel'nik V. S. Multivariational Inequalities and Operator Inclusions in Banach Spaces with Mappings of the Class $(S)_{+}$ // Ukr. Mat. Zh. - 2000. - 52, № 11. - pp. 1513-1523.

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