Some multivalued fixed point results under weak topology with application to integral inclusion
Applied Analysis and Optimization, cilt.8, sa.1, ss.87-99, 2024 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 8 Sayı: 1
- Basım Tarihi: 2024
- Dergi Adı: Applied Analysis and Optimization
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.87-99
- Anahtar Kelimeler: Fixed point theorem, integral inclusion, multivalued operator, WC-Banach algebra, weakly sequentially upper semicontinuity
- İstanbul Gelişim Üniversitesi Adresli: Hayır
Özet
In this paper, suitable conditions are established to guarantee the existence of solutions of multivalued operator equations in WC-Banach algebras. In addition, some new hybrid fixed point theorems for multivalued operators are proved under these conditions. Finally, an application for integral inclusions is presented. Furthermore, our study extends single-valued results to multivalued for weak topology.