Voir la notice de l'article provenant de la source Math-Net.Ru
@article{EMJ_2015_6_4_a4, author = {I. V. Orlov and S. I. Smirnova}, title = {Invertibility of multivalued sublinear operators}, journal = {Eurasian mathematical journal}, pages = {44--58}, publisher = {mathdoc}, volume = {6}, number = {4}, year = {2015}, language = {en}, url = {http://geodesic.mathdoc.fr/item/EMJ_2015_6_4_a4/} }
I. V. Orlov; S. I. Smirnova. Invertibility of multivalued sublinear operators. Eurasian mathematical journal, Tome 6 (2015) no. 4, pp. 44-58. http://geodesic.mathdoc.fr/item/EMJ_2015_6_4_a4/
[1] E. R. Avakov, G. G. Magaril-Il'aev, V. M. Tikhomirov, “Lagrange's principle in extremum problem with constraints”, Russian Math. Surveys, 68:3 (2013), 401 | DOI | MR | Zbl
[2] J. M. Borwein, J. P. Penot, M. Thera, “Conjugate convex operators”, J. Math. Anal. Appl., 102:2 (1984), 399 | DOI | MR | Zbl
[3] H. Cartan, Calcul differentiel. Formes differentielles, Hermann, Paris, 1967, 392 pp. | MR
[4] F. H. Clark, Optimization and nonsmooth analysis, Wiley, New York, 1983, 280 pp. | MR | Zbl
[5] N. Dunford, J. I. Schwarcz, Linear operators. General theory, Interscience Publ., New York–London, 1958, 896 pp. | Zbl
[6] J. Dutta, J. E. Martiner-Legaz, A. M. Rubinov, “Monotonic analysis over Cones, I”, Optimization, 53:2 (2004), 129 | DOI | MR | Zbl
[7] F. Florez-Bazán, E. Hermandes, “A unified vector optimization problem: complete scalarizations and applications”, Optimization, 60:12 (2011), 1399 | DOI | MR
[8] A. D. Ioffe, “Metric regularity and subdifferential calculus”, Russian Math. Surveys, 55:3 (2000), 501 | DOI | MR | Zbl
[9] V. A. Levashov, “Operator analogs of the Krein–Milman theorem”, Funct. Anal. Appl., 14:2 (1980), 130–131 | DOI | MR | Zbl
[10] Yu. E. Linke, “Universal spaces of subdifferentials of sublinear operators ranging in the cone of bounded lower semicontinuous functions”, Math. Notes, 89:314 (2011), 519–527 | DOI | MR | Zbl
[11] G. G. Magaril-Il'aev, “The implicit function theorem for Lipschitz maps”, Russian Math. Surveys, 33:1 (1977), 209 | DOI
[12] G. E. Myrzabekova, “Implicit function theorem for nonsmooth system by means of exhausters”, J. Computer Syst. Sc. Int., 48:4 (2009), 574–580 | DOI | MR
[13] I. V. Orlov, “Banach–Zaretsky theorem for compactly absolutely continuous functions”, J. Math. Sc., 180:6 (2012), 710–730 | DOI | MR | Zbl
[14] I. V. Orlov, Z. I. Khalilova, “Compact subdifferentials in Banach cones”, J. Math. Sc., 198:4 (2014), 438–456 | DOI | MR | Zbl
[15] I. V. Orlov, F. S. Stonyakin, “Compact subdifferentials: the formula of finite increments and related topics”, J. Math. Sc., 170:12 (2010), 251–269 | DOI | MR | Zbl
[16] I. V. Orlov, F. S. Stonyakin, “The limiting form of Radon–Nikodim property is true for all Frechet spaces”, J. Math. Sc., 180:6 (2012), 731–747 | DOI | MR | Zbl
[17] V. Yu. Protasov, “On linear selections on convex set-valued maps”, Funct. Anal. Appl., 45:1 (2011), 46–55 | DOI | MR | Zbl
[18] A. M. Rubinov, “Sublinear operators and their applications”, Russian Math. Surveys, 32:4 (1977), 115–175 | DOI | MR | Zbl
[19] H. H. Shaefer, Topological vector spaces, Macmillan, New York, 1971, 400 pp.