Vahid Dadashi - Department of Mathematics, Islamic Azad University--Sari Branch, Sari, Iran

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

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