Journal of Convex Analysis, Vol. 07, No. 2, pp. 413-426 (2000)

Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints

Chabi, El Hassan; Zouaki, Hamid

D�p. de Math�matiques et Informatique Facult� des Sciences Universit� M<sup>Y</sup> Ismail Beni M'hamed 50000 Mekn�s Marocco
D�p. de Math�matiques et Informatique Facult� des Sciences Universit� M<sup>Y</sup> Ismail Beni M'hamed 50000 Mekn�s Marocco

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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