Metric Regularity and Lyusternik-Graves Theorem via Approximate Fixed Points of Set-Valued Maps in Noncomplete Metric Spaces
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DOI: 10.1007/s11228-020-00553-1
Abstract: This paper considers global metric regularity and approximate fixed points of set-valued mappings. We establish a very general Theorem extending to noncomplete metric spaces a recent result by A.L. Dontchev and R.T. Rockafellar on sharp… read more here.
Keywords: valued maps; set valued; regularity; points set ... See more keywords
A characterization of the uniform convergence points set of some convergent sequence of functions
Sign Up to like & getrecommendations! Published in 2020 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0478
Abstract: Abstract We characterize the uniform convergence points set of a pointwisely convergent sequence of real-valued functions defined on a perfectly normal space. We prove that if X is a perfectly normal space which can be… read more here.
Keywords: uniform convergence; convergent sequence; points set; sequence ... See more keywords