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In this paper by using the measure of noncompactness concept, we present newfixed point theorems for multivalued maps. In further we introduce a new classof mappings which are general than Meir-Keeler mappings. Finally, we use theseresults to investigate the existence of weak solutions to an Evolutiondifferential inclusion with a lack of compactness.

On different type of fixed point theorem for multivalued mappings via measure of noncompactness