The sum and composition rules for maximal monotone operators via preserving maximal monotone operators

In this paper, we study maximal monotonicity preserving mappings on the Banach space .Indeed, for a maximal monotone set and for a multifunction , undersome sufficient conditions on and we show that is maximal monotone. As two consequences of this result we get sum and composition rules for maximal monotone operators

کلیدواژه ها:

Convex process ، Fitzpatrick function ، Maximal monotone operator ، Representative function ، Sum and composition rules