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Level-continuity of functions and applications

✍ Scribed by H. Román-Flores; M. Rojas-Medar

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
395 KB
Volume
38
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we study the concepts of level-continuity and proper local maximum points of functions defined on a topological space X and, on one hand, we establish that, under adequate conditions, f is level-continuous if f is without proper local maximum points and, on the other, we prove that level-convergence and variational convergence (F-convergence) of functions are equivalents when the limit function is level-continuous. (~) 1999 Elsevier Science Ltd. All rights reserved.

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