Geodesic
Convexity properties of images under nonlinear integral operators
Sbornik. Mathematics, Tome 205 (2014) no. 12, pp. 1775-1786

Voir la notice de l'article provenant de la source Math-Net.Ru

Conditions are obtained for the image of a given set under a general completely continuous nonlinear integral operator to have convex closure. These results are used to establish the uniqueness of quasi-solutions of nonlinear integral equations of the first kind and to prove the solvability of equations of the first kind on a dense subset of the right-hand sides. Bibliography: 11 titles.
Keywords: nonlinear integral operator, image of a set, closure, convexity, equation of the first kind. 
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     author = {M. Yu. Kokurin},
     title = {Convexity properties of images under nonlinear integral operators},
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M. Yu. Kokurin. Convexity properties of images under nonlinear integral operators. Sbornik. Mathematics, Tome 205 (2014) no. 12, pp. 1775-1786. http://geodesic.mathdoc.fr/item/SM_2014_205_12_a5/