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Random coincidence theorems and applications |
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| Authors: | Raúl Fierro Carlos Martínez |
| Institution: | a Instituto de Matemática, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaíso, Chile b Centro de Investigación y Modelamiento de Fenómenos Aleatorios, Universidad de Valparaíso, Casilla 5030, Valparaíso, Chile c Department of Mathematics, University of Alabama in Huntsville, Huntsville, AL 35899, USA |
| Abstract: | In this article we state conditions under which the existence of deterministic coincidence points of two multivalued random functions implies the existence of random coincidence points. Moreover, two existence results of measurable selections are obtained for the intersection of the multivalued function evaluated at the random coincidence point. Our results extend or improve some theorems in the literature. |
| Keywords: | Multivalued random operators Quasi-hemiconvergency Random coincidence point |
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