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

Keywords:

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