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

Bouzara, Nour El Houda; Karakaya, Vatan

Adv. Oper. Theory 3, No. 2, 326-336 (2018).

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

Keywords:

fixed points; measure of noncompactness; evolution inclusions

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