SOME FIXED POINT THEOREMS FOR MULTIVALUED KRASNOSEL’SKII-TYPE EQUATIONS UNDER WEAK TOPOLOGY
Journal of Mathematical Analysis, vol.15, no.1, pp.1-12, 2024 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 15 Issue: 1
- Publication Date: 2024
- Doi Number: 10.54379/jma-2024-1-1
- Journal Name: Journal of Mathematical Analysis
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.1-12
- Keywords: Approximation method, Krasnosel’skii fixed point theorem, Measure of weak noncompactness, Multivalued mapping
- Open Archive Collection: AVESIS Open Access Collection
- Istanbul Gelisim University Affiliated: No
Abstract
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.