Level-continuity of functions and applications

Authors
Roman-Flores, H Rojas-Medar, M
Citation
H. Roman-flores et M. Rojas-medar, Level-continuity of functions and applications, COMPUT MATH, 38(3-4), 1999, pp. 143-149
Citations number
12
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
38
Issue
3-4
Year of publication
1999
Pages
143 - 149
Database
ISI
SICI code
0898-1221(199908)38:3-4<143:LOFAA>2.0.ZU;2-B
Abstract
In this paper, we study the concepts of level-continuity and proper local m aximum points of functions defined on a topological space X and, on one han d, 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 le vel-convergence and variational convergence (Gamma-convergence) of function s are equivalents when the limit function is level-continuous. (C) 1999 Els evier Science Ltd. All rights reserved.