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

Temel C., Selah M.

Journal of Mathematical Analysis, cilt.15, sa.1, ss.1-12, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.54379/jma-2024-1-1
  • Dergi Adı: Journal of Mathematical Analysis
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1-12
  • Anahtar Kelimeler: Approximation method, Krasnosel’skii fixed point theorem, Measure of weak noncompactness, Multivalued mapping
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

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.