Author(s)

Wadie Aziz^1*, Nelson Merentes²

¹Departamento de Física y Matemática, Universidad de Los Andes, Trujillo, Venezuela.
²Escuela de Matemática, Universidad Central de Venezuela, Caracas, Venezuela.

We show that the lateral regularizations of the generator of any uniformly bounded set-valued composition Nemytskij operator acting in the spaces of functions of bounded variation in the sense of Riesz, with nonempty bounded closed and convex values, are an affine function.

j-Variation in the Sense of Riesz, Set-Valued Functions, Left and Right Regularizations, Uniformly Bounded Operator, Composition (Nemytskij) Operator, Jensen Equation

Aziz, W. and Merentes, N. (2015) Uniformly Bounded Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz. International Journal of Modern Nonlinear Theory and Application, 4, 226-233. doi: 10.4236/ijmnta.2015.44017.