Extensions of the continuity of point-to-set maps: Applications to fixed point algorithms-Reference-Cited by-同舟云学术

Extensions of the continuity of point-to-set maps: Applications to fixed point algorithms

Published:1979 Issue: Volume: Page:48-68
ISSN:0303-3929
Container-title:Mathematical Programming Studies
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Author:

Denel J.

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/BFb0120843.pdf

Reference19 articles.

1. C. Berge, Espaces topologiques—fonctions multivoques (Dunod, Paris, 1966).

2. D.P. Bertsekas and S.K. Mitter, “A descent numerical method for optimization problem with nondifferentiable cost functionals”, SIAM Journal on Control 11 (1973) 637–652.

3. G. Dantzig, J. Folkmann and N. Shapiro, “On the continuity of the minimum set of a continuous function”, Journal of Mathematical Analysis and Applications 17 (1967) 519–548.

4. J. Denel, “Adaptation and performance of the linearized method of centers”, Cahiers du CERO (Bruxelles) 16 (1974) 447–458.

5. J. Denel, “Propriétés des familles ρ-décroissantes d’applications multivoques”, Publication no. 87, Laboratoire de Calcul, Université de Lille 1 (1977).

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1. An overall study of convergence conditions for algorithms in nonlinear programming;Acta Mathematicae Applicatae Sinica;1993-04

2. Continuousization of the family of point-to-set maps and its applications;Journal of Mathematical Analysis and Applications;1990-12

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