TY  - JOUR
ID  - Azócar2010
LB  - Azócar2010
AU  - Azócar, A.
AU  - Guerrero, J. A.
AU  - Matkowski, J.
AU  - Merentes, N.
TI  - Uniformly continuous set-valued composition operators in the spaces of functions of bounded variation in the sense of Wiener
ST  - Uniformly continuous set-valued composition operators in the spaces of functions of bounded variation in the sense of Wiener
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2010
VL  - 30
IS  - 1
SP  - 53
EP  - 60
DO  - http://dx.doi.org/10.7494/OpMath.2010.30.1.53
UR  - http://dx.doi.org/10.7494/OpMath.2010.30.1.53
AB  - We show that the one-sided regularizations of the generator of any uniformly continuous and convex compact valued composition operator, acting in the spaces of functions of bounded variation in the sense of Wiener, is an affine function.
KW  - \(\varphi\)-variation in the sense of Wiener
KW  - set-valued functions
KW  - left and right regularizations
KW  - uniformly continuous composition (Nemytskii) operator
KW  - Jensen equation
SN  - 1232-9274
ER  -