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On metric regularity of composed multimaps
MERYEM MEDDAHI,KHADRA NACHI 장전수학회 2019 Proceedings of the Jangjeon mathematical society Vol.22 No.2
This paper concerns metric regularity of composition of set-valued maps between metric spaces. The study is focused on lo- cal properties using techniques based on several important tools like error bounds, the Ekeland variational principle and a new concept of local composition stability of multimaps. We give some new results and we provide an application to best proximity points.