Parametrized multicriteria optimization: Continuity and closedness of optimal multifunctions

Continuity of Multifunctions.

12 Tousey, R., "The solar spectrum in space," Astronautics, 6, 32 (July 1961). 1"Steacie, E. W. R., Atomic and Free Radical Reactions, Am. Chem. Soc. Monograph (New York: Reinhold Publishing Corp., 1954), 2nd ed., vols. 1 and 2. 14 Rubey, W. W., Bull. Geol. Soc. Am., 62, 1111 (1951). 51 Kuiper, G. P., private communication. 16Kuiper, G. P., Comm. Lunar Planetary Lab., University of Arizona, 2, ...

Effectivity and effective continuity of multifunctions

Continuity Properties of Fuzzy Set Multifunctions

In this paper, we study continuity properties in Hausdorff topology for different special set multifunctions. Key–words: set multifunction, multi(sub)measure, regular, exhaustive, increasing/decreasing convergent, order continuity, probability.

On the Continuity of Effective Multifunctions

If one wants to compute with infinite objects like real numbers or data streams, continuity is a necessary requirement: better and better (finite) approximations of the input are transformed in better and better (finite) approximations of the output. In case the objects are constructively generated, they can be represented by a finite description of the generating procedure. By effectively tran...

Set-norm Continuity of Set Multifunctions

In this paper, we present different types of continuous set multifunctions with respect to a set norm (such as uniformly autocontinuous or autocontinuous from above), their relationships with non-additive set multifunctions and some properties of atoms and pseudo-atoms for null-null-additive set multifunctions.