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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EH
El Hassan Chabi
Dép. de Mathématiques et Informatique, Faculté des Sciences, Université MY Ismail, Beni M'hamed, 50000 Meknès, Marocco
HZ
Hamid Zouaki
Dép. de Mathématiques et Informatique, Faculté des Sciences, Université MY Ismail, Beni M'hamed, 50000 Meknès, Marocco
Suggested citation
E. H. Chabi, H. Zouaki. “Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints.” Journal of Convex Analysis 7 (2000), No. 2, 413–426.