SOME FIXED POINT THEOREMS FOR MULTIVALUED KRASNOSEL'SKII-TYPE EQUATIONS UNDER WEAK TOPOLOGY

Selah M., Temel C.

JOURNAL OF MATHEMATICAL ANALYSIS, cilt.15, ss.1-12, 2024 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15
  • Basım Tarihi: 2024
  • Doi Numarası: 10.54379/jma-2024-1-1.
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS
  • Derginin Tarandığı İndeksler: Scopus, Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.1-12
  • İstanbul Gelişim Üniversitesi Adresli: Hayır

Özet

In this paper, using the approximation method and the technique

of weak noncompactness, we obtain some results regarding the existence of the

solution for the sum of a multivalued operator and a single-valued operator

in the weak topology. In addition, an application of integral inclusion is presented

that explains our theory. This study extends some previously known

single-valued Krasnosel'skii-type theorems to multivalued versions under weak

topology.