On the solvability of one class of parameterized operator inclusions

• Date: 2008
• Main Authors: Kapustyan, V. O., Kasyanov, P. O., Kohut, O. P., Капустян, В. О, Касьянов, П. О., Когут, О. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3276
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...