Journal of Convex Analysis 07 (2000), No. 2, 413--426
Copyright Heldermann Verlag 2000
Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints
El Hassan Chabi
Dép. de Mathématiques et Informatique, Faculté des Sciences, Université MY Ismail, Beni M'hamed, 50000 Meknès, Marocco
Hamid Zouaki
Dép. de Mathématiques et Informatique, Faculté des Sciences, Université MY Ismail, Beni M'hamed, 50000 Meknès, Marocco
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.
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