Some Existence Results for Set-Valued Nonlinear Operator Equations

Selah M., Temel C.

10nd International Madin Artuklu Scientific Researches Conference, Mardin, Türkiye, 19 - 21 Mayıs 2023, ss.317, (Özet Bildiri)

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: Mardin
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.317
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

In this study, the existence of solutions for nonlinear set-valued operator equations is

investigated. In this case, some new results are obtained for the solution of the sum and

product of set-valued operators defined on WC-Banach algebras. To prove these results, the

weak non-compact measure technique and D-Lipschtzian properties are used. In particular,

this work extends the results of known single-valued operators with weak topology to the setvalued

operator equations with weak topology.