We consider a class of parameterized operator inclusions with set-valued mappings of \( {\bar S_k} \) type. Sufficient conditions for the solvability of these inclusions are obtained and the dependence of the sets of their solutions on functional parameters is investigated. Examples that illustrate the results obtained are given.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 12, pp. 1619–1630, December, 2008.
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Kapustyan, V.O., Kas’yanov, P.O. & Kohut, O.P. On the solvability of one class of parameterized operator inclusions. Ukr Math J 60, 1901–1914 (2008). https://doi.org/10.1007/s11253-009-0179-z
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DOI: https://doi.org/10.1007/s11253-009-0179-z