Temel, CesimSelah, Muberra2025-05-102025-05-1020242217-341210.54379/JMA-2024-1-12-s2.0-85186172792https://doi.org/10.54379/JMA-2024-1-1https://hdl.handle.net/20.500.14720/20410. 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.eninfo:eu-repo/semantics/closedAccessMultivalued MappingKrasnosel'Skii Fixed Point TheoremMeasure Of Weak NoncompactnessApproximation MethodArticle151N/AQ3112WOS:001179869500001