Geodesic
Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints
Journal of convex analysis, Tome 7 (2000) no. 2, pp. 413-426 Cet article a éte moissonné depuis la source Heldermann Verlag

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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. 
@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/}
}
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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/