Keywords
- Lower Semicontinuous
- Open Covering
- Homotopic Group
- Continuous Selection
- Lower Semicontinuous Mapping
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Arkin V.I. and Levin V.L. The convexity of values of vector integrals, theorems on measurable sampling, and variational problems, Usp. matem. nauk, 1972, v. 27, No. 3 (in Russian).
Borisovich Yu.G., Gel’man B.D., Myshkis A.D., and Obukhovskiǐ V.V. Many-valued mappings, in: Mathematical analysis, VINITI, Moscow, 1982, v. 19 (in Russian).
Borisovich Yu.G. and Gliklikh Yu.E. On the Lefschetz number for a certain class of many-valued mappings, in: 7 Summer mathematical workshop, Kiev, 1970 (in Russian).
Gel’man B. A generalization of Kakutani’s fixed point theorem to many-valued mappings, Dokl. Akad. Nauk SSSR, 1973, v. 209, No. 1 (in Russian; English transl. in Soviet Math.Doklady,v.14(1973),No 2).
Myshkis A.D. On differential inequalities with locally bounded derivatives, Uchen. zapiski of Khar’kov State University, Khar’kov, 1964, v. 138 (in Russian).
Myshkis A.D. Generalization of the theorem on a fixed point of a dynamical system inside a closed trajectory, Matem. sbornik, 1954, v. 34, No.3 (in Russian).
Farber M.Sh. Differentiable selection of many-valued mappings, Voprosy matem. kibernetiki i prikladnoǐ matematiki (Baku), 1978, No.3 (in Russian).
Farber M.Sh. On smooth selections of the intersection of manyvalued mappings, Izv. Akad. Nauk Azerbaijan SSR, Ser. phys.-tech. and mathem. sciences, 1979, No.6 (in Russian).
Fuks D.B., Fomenko A.T., and Gutenmakher V.L. Homotopic topology, Moscow, 1969 (in Russian).
Kuratowski K. and Ryll-Nardzewski C. A general theorem on selectors, Bull. Acad. Polon. Sci., ser. Math. Astr. Phys., 13 (1965), pp. 397–403.
Michael E.A. Continuous selections I. Ann. of Math. v. 63, No. 2 (1956), pp. 361–382.
Parthasarathy T. Selection theorems and their applications, Lect. Notes Math., 1972, v. 263, pp. 1–101.
Stefani G. and Zecca P. Properties of convex sets with application to differential theory of multivalued functions, Nonlinear Analysis, Theory, Methods, Applic., v. 2, No.5 (1978), pp. 583–595.
Young G. Continuous selections on locally compact separable metric spaces, Lect. Notes Math., 1970, v. 171, pp. 102–110.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this chapter
Cite this chapter
Gel’man, B.D. (1986). On certain classes of selections of many-valued mappings. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis — Studies and Applications II. Lecture Notes in Mathematics, vol 1214. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075959
Download citation
DOI: https://doi.org/10.1007/BFb0075959
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16821-8
Online ISBN: 978-3-540-47084-7
eBook Packages: Springer Book Archive
