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

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. [ABSTRACT FROM AUTHOR]