Maximality of the sum of the monotone operator of type (FPV) and a   maximal monotone operator
  Here, question raised by Borwein and Yao has been settled by establishing that the sum of two maximal monotone operators A and B is maximal monotone with the condition that A is of type (FPV) and satisfies Rockafellar's constraints qualification. Also we have proved that A+B is of type (FPV) without assuming convexity on the domain of A. 
S. R. Pattanaik and D. K. Pradhan
math.FA