TY - JOUR
T1 - Level-continuity of functions and applications
AU - Román-Flores, H.
AU - Rojas-Medar, M.
PY - 1999/8
Y1 - 1999/8
N2 - 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 (Γ-convergence) of functions are equivalents when the limit function is level-continuous.
AB - 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 (Γ-convergence) of functions are equivalents when the limit function is level-continuous.
UR - https://www.scopus.com/pages/publications/0033177614
U2 - 10.1016/S0898-1221(99)00190-X
DO - 10.1016/S0898-1221(99)00190-X
M3 - Article
AN - SCOPUS:0033177614
SN - 0898-1221
VL - 38
SP - 143
EP - 149
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 3
ER -