Metric Regularity and Lyusternik-Graves Theorem via Approximate Fixed Points of Set-Valued Maps in Noncomplete Metric Spaces
Sign Up to like & getrecommendations! Published in 2020 at "Set-valued and Variational Analysis"
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
On topological groups with an approximate fixed point property.
Sign Up to like & getrecommendations! Published in 2017 at "Anais da Academia Brasileira de Ciencias"
DOI: 10.1590/0001-3765201720150382
Abstract: A topological group G has the Approximate Fixed Point (AFP) property on a bounded convex subset C of a locally convex space if every continuous affine action of G on C admits a net (… read more here.
Keywords: topological groups; property; groups approximate; approximate fixed ... See more keywords