Variational Sum of Monotone Operators

@inproceedings{Baillon1994VariationalSO,
  title={Variational Sum of Monotone Operators},
  author={J G Baillon},
  year={1994}
}
The sum of (nonlinear) maximal monotone operators is reconsidered from the Yosida approximation and graph-convergence point of view. This leads to a new concept, called variational sum, which coincides with the classical (pointwise) sum when the classical sum happens to be maximal monotone. In the case of subdiierentials of convex lower semicontinuous proper functions, the variational sum is equal to the subdiierential of the sum of the functions. A general feature of the variational sum is to… CONTINUE READING

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