Abstract

In this article we give a sufficient condition for a nonlinear algebraic system of some classes of hypersurfaces to intersect in a unique point and we express the corresponding unique solution in exact form, as well as for the corresponding nonlinear functional system of equations. We conclude extending our results for the functional case in a Banach space of Bochner measurable functions.

Keywords: Nonlinear systems; intersection of hypersurfaces; Bochner integrable functions; equality in the triangle inequality.

MSC: 14P99, 46E30, 26D15, 39B05, 97G70

DOI: 10.57016/MV-cpyj7658

Pages:  280--288     

Volume  74 ,  Issue  4 ,  2022