Some multivalued fixed point results under weak topology with application to integral inclusion
Applied Analysis and Optimization, vol.8, no.1, pp.87-99, 2024 (Scopus)
- Publication Type: Article / Article
- Volume: 8 Issue: 1
- Publication Date: 2024
- Journal Name: Applied Analysis and Optimization
- Journal Indexes: Scopus
- Page Numbers: pp.87-99
- Keywords: Fixed point theorem, integral inclusion, multivalued operator, WC-Banach algebra, weakly sequentially upper semicontinuity
- Istanbul Gelisim University Affiliated: No
Abstract
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.