METRIC SUBREGULARITY OF COMPOSITION SET-VALUED MAPPINGS WITH APPLICATIONS TO FIXED POINT THEORY by
نویسندگان
چکیده
In this paper we underline the importance of the parametric subregularity property of setvalued mappings, de ned with respect to xed sets. We show that this property appears naturally for some very simple mappings which play an important role in the theory of metric regularity. We prove a result concerning the preservation of metric subregularity at generalized compositions. Then we obtain, on purely metric setting, several xed point assertions for set-valued mappings in local and global frameworks. Keywords: global regularity and subregularity set-valued compositions xed point assertions Mathematics Subject Classi cation (2010): 90C30 49J52 49J53
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