Abstract

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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El Hassan Chabi

Dép. de Mathématiques et Informatique, Faculté des Sciences, Université MY Ismail, Beni M'hamed, 50000 Meknès, Maroc

Hamid Zouaki

Dép. de Mathématiques et Informatique, Faculté des Sciences, Université MY Ismail, Beni M'hamed, 50000 Meknès, Maroc

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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. https://doi.org/10.68381/jca07021

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Published by Heldermann Verlag, 2000. Rights now held by Banach Press.