Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
From MaRDI portal
Publication:3667356
DOI10.1137/0514015zbMath0518.41031OpenAlexW2006708927MaRDI QIDQ3667356
Frank Deutsch, Kenderov, Petar S.
Publication date: 1983
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0514015
Set-valued maps in general topology (54C60) Continuous maps (54C05) Selections in general topology (54C65) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Related Items
Random fixed point theorems under mild continuity assumptions, On a theorem of Deutsch and Kenderov, Solutions and approximate solutions of quasi-equilibrium problems in Banach spaces, A continuity condition for the existence of a continuous selection for a set-valued mapping, On Functions that Approximate Relations, Lower semicontinuity, almost lower semicontinuity, and continuous selections for set-valued mappings, Zeros of functionals and a parametric version of Michael selection theorem, Set valued mappings, continuous selections, and metric projections, A characterization of reflexive spaces by means of continuous approximate selections for metric projections, On continuity properties of the modulus of local contractibility, An equivalent condition of continuous metric selection, Selection theorems and minimal mappings in a cluster setting, Continuous Selections for Weakly Hausdorff Lower Semicontinuous Multifunctions, New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations, Almost convexity and continuous selections of the set-valued metric generalized inverse in Banach spaces, Unnamed Item, Michael selection problem in hyperconvex metric spaces, Concepts of lower semicontinuity and continuous selections for convex valued multifunctions, Some new results on stability of Ekeland's \(\varepsilon\)-variational principle, Chebyshev centers and some geometric properties of Banach spaces, On Mosco convergence of convex sets, Approximate selections in finite dimensional metric spaces, Approximate selections of almost lower semicontinuous multimaps in \(C\)-spaces, Generalized selection theorems without convexity, Michael's selection theorem under an assumption weaker than lower semicontinuous in \(H\)-spaces, Continuous selections for metric projections in spaces of continuous functions and a disjoint leaves condition, A note on a continuous approximate selection theorem, Continuous selections and fixed points of multi-valued mappings on noncompact or nonmetrizable spaces, Distances from selectors to spaces of functions, Various continuities of metric projections in \(C_ 0(T,X)\), Differentiable selections and Castaing representations of multifunctions, The Prox map, On a generic optimization theorem of Petar Kenderov, Continuous selections for multivalued mappings with closed convex images and applications, Linear selections for the metric projection, On approximate minima of a convex functional and lower semicontinuity of metric projections, Lower semicontinuity concepts, continuous selections, and set valued metric projections, Approximation and fixed points for compositions of \(R_ \delta\)-maps, On convergence of convex sets and relative Chebyshev centers, Continuity of metric projections onto subspaces and openness of quotient maps on unit balls, Selections for quasi-l.s.c. mappings with uniformly equi-\(LC^ n\) range
