Continuity of generalized convex mappings taking values in an ordered topological linear space

Authors

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

Bourbaki, N., Éléments de mathématique. Fascicule XXII. Livre I: Théorie des ensembles. Chapitre 4: Structures. (French) Deuxième édition revue et diminuée. Actualités Scientifiques et Industrielles, No. 1258 Hermann, Paris 1966 105 pp., MR0202558.

Breckner, Wolfgang W., Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer Funktionen in topologischen linearen Räumen. (German) Publ. Inst. Math. (Beograd) (N.S.) 23(37) (1978), 13-20, MR0508122.

Breckner, Wolfgang W., Orbán, Gheorghe, On the continuity of convex mappings. Anal. Numér. Théor. Approx. 6 (1977), no. 2, 117-123, MR0637231.

Breckner, W.W., Orbán, G., On the continuity of s-convex mappings. In : Proceedings of the third colloquium on operations research, Cluj-Napoca, October 20-21, 1978 (Edited by Maruşciac I. and Breckner W.W.), Babeş-Bolyai University of Cluj-Napoca, 23-29 (1979).

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Lopes Pinto, A. J., Brandão Functions with values in an ordered topological linear space. A closed-graph theorem for convex functions. Boll. Un. Mat. Ital. (4) 5 (1972), 255-261, MR0312206.

Valadier, Michel, Sous-différentiabilité de fonctions convexes à valeurs dans un espace vectoriel ordonné. (French) Math. Scand. 30 (1972), 65-74, MR0346525.

Wong, Yau Chuen, Ng, Kung Fu, Partially ordered topological vector spaces. Oxford Mathematical Monographs. Clarendon Press, Oxford, 1973. x+217 pp., MR0454581.

Yamamuro, Sadayuki, Differential calculus in topological linear spaces. Lecture Notes in Mathematics, Vol. 374. Springer-Verlag, Berlin-New York. 1974. iv+179 pp., MR0488118.

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Published

1982-08-01

How to Cite

Breckner, W. W., & Orban, G. (1982). Continuity of generalized convex mappings taking values in an ordered topological linear space. Anal. Numér. Théor. Approx., 11(1), 15–33. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1982-vol11-nos1-2-art3

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Vol 11, Nos 1-2 (1982)

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