Journal of convex analysis, Tome 7 (2000) no. 2, pp. 413-426
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E. H. Chabi; H. Zouaki. Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints. Journal of convex analysis, Tome 7 (2000) no. 2, pp. 413-426. http://geodesic.mathdoc.fr/item/JCA_2000_7_2_JCA_2000_7_2_a9/
@article{JCA_2000_7_2_JCA_2000_7_2_a9,
author = {E. H. Chabi and H. Zouaki},
title = {Existence of a {Continuous} {Solution} of {Parametric} {Nonlinear} {Equation} with {Constraints}},
journal = {Journal of convex analysis},
pages = {413--426},
year = {2000},
volume = {7},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JCA_2000_7_2_JCA_2000_7_2_a9/}
}
TY - JOUR
AU - E. H. Chabi
AU - H. Zouaki
TI - Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints
JO - Journal of convex analysis
PY - 2000
SP - 413
EP - 426
VL - 7
IS - 2
UR - http://geodesic.mathdoc.fr/item/JCA_2000_7_2_JCA_2000_7_2_a9/
ID - JCA_2000_7_2_JCA_2000_7_2_a9
ER -
%0 Journal Article
%A E. H. Chabi
%A H. Zouaki
%T Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints
%J Journal of convex analysis
%D 2000
%P 413-426
%V 7
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_2000_7_2_JCA_2000_7_2_a9/
%F JCA_2000_7_2_JCA_2000_7_2_a9
Combining a consequence of the Michael continuous selection theorem and an iterative scheme we prove the existence of a continuous solution of a parametric equation with constraints. An inverse function theorem for multivalued functions with a continuous selection of the inverse images is obtained in consequence.
