A principle of condensation of singularities for set-valued functions

Authors

  • Wolfgang W. Breckner "Babeş-Bolyai" University, Cluj-Napoca, Romania

Keywords:

principle of uniform boundedness
Abstract views: 133

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References

Berge C., Espace Fonctions multivoques. Dunod, Paris 1959

Bourbaki N., Elements de mathematique. Livre V: Espaces vectoriels topoligiques. Chap.III-V. Herman, Paris 1964.

Bourbaki Nelements de mathiematique. Topologie generale. Chap. 5 a 10. Hermann. Paris 1974.

Breckner W.W., Eine Verallgemeinerung des Prinzips der gleichmassigen Beschranktheit. Mathematica – Rev. Anal. Numer. Theorie Approximation. Ser.L’Anal. Numer. Theorie Approximation 9, 11-18 (1980)

Broughan, K.A., The boundedness principle characterizes second category subsets. Bull. Austral. Math. Soc. 16, 257-265, 1977.

Cech E., Topological Spaces. Academia, Prague 1966.

Cobzas S., Muntean, I., Condensation of singularities and di vergence results in approximation theory. J. Approximation Theory 31, 138-153, 1981.

Csaszar, A., General Topology. Akademial Kiado, Budapest 1978.

Edwards, R.E., Functional Analysis. Theory and Applications. Holt, Rinehart and Winston, New York 1965.

Holmes, R.B., Geometric Functional Analysis and its Applications. Springer-Verlag, New York 1975.

Kolumban, I., Das Prinzip des Kondensation der Singularitaten prakonvexer Funktionen. Mathematica – Rev. Anal. Numer. Theorie Approximation, Ser. L’Anal. Numer. Theorie Approximation 9, 59-63, 1980.

Kosmol, P., Optimierung konvexer Funktionen mit Stabilitatsbetrachtungen. Disseratationes Math. Rozparawy Mat. 140, 1976.

Smithson, R.E., Multifunctions. Nieuw Arch. Wisk. 3, 20, 31-53, 1972.

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Published

1983-08-01

How to Cite

Breckner, W. W. (1983). A principle of condensation of singularities for set-valued functions. Anal. Numér. Théor. Approx., 12(2), 101–111. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1983-vol12-no2-art1

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