On different type of fixed point theorem for multivalued mappings via measure of noncompactness.(English)Zbl 1435.47053

Summary: In this paper, by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. Further, we introduce a new class of mappings which are more general than Meir-Keeler mappings. Finally, we use these results to investigate the existence of weak solutions to an evolution differential inclusion with lack of compactness.

MSC:

 47H10 Fixed-point theorems 47H08 Measures of noncompactness and condensing mappings, $$K$$-set contractions, etc. 47H04 Set-valued operators 34G25 Evolution inclusions
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