On the Fitzpatrick transform of a monotone bifunction

References

• Ait Mansour , M , Chbani , Z and Riahi , H . 2003 . Recession bifunction and solvability of noncoercive equilibrium problems . Commun. Appl. Anal. , 7 : 369 – 377 .
   Google Scholar
• Alizadeh , MH and Hadjisavvas , N . 2012 . Local boundedness of monotone bifunctions . J. Global Optim. , doi: 10.1007/s10898-011-9677-2
   Web of Science ®Google Scholar
• Aoyama , K , Kimura , Y and Takahashi , W . 2008 . Maximal monotone operators and maximal monotone functions for equilibrium problems . J. Convex Anal. , 15 : 395 – 409 .
   Web of Science ®Google Scholar
• Bauschke , HH , Borwein , JM , Wang , X and Yao , L . 2012 . Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type . Optim. Lett. , doi: 10.1007/s11590-011-0383-2
   Web of Science ®Google Scholar
• Blum , E and Oettli , W . 1994 . From optimization and variational inequalities to equilibrium problems . Math. Stud. , 63 : 123 – 145 .
   Google Scholar
• Borwein , JM . 2006 . Maximal monotonicity via convex analysis . J. Convex Anal. , 13 : 561 – 586 .
   Web of Science ®Google Scholar
• Borwein , JM . 2010 . Fifty years of maximal monotonicity . Optim. Lett. , 4 : 473 – 490 .
   Web of Science ®Google Scholar
• Bot , R and Grad , S-M . 2012 . Approaching the maximal monotonicity of bifunctions via representative functions . J. Convex Anal. , 19 (to appear)
   Web of Science ®Google Scholar
• Burachik , RS and Svaiter , B . 2003 . Maximal monotonicity, conjugation and the duality product . Proc. Am. Math. Soc. , 131 : 2379 – 2383 .
   Web of Science ®Google Scholar
• Fitzpatrick , S . 1988 . Representing monotone operators by convex functions , 1988). Australian National University, Canberra : in Workshop and Miniconference on Functional Analysis and Optimization (Canberra . pp. 59–65
   Google Scholar
• Hadjisavvas , N and Khatibzadeh , H . 2010 . Maximal monotonicity of bifunctions . Optimization , 59 : 147 – 160 .
   Web of Science ®Google Scholar
• Penot , JP and Zalinescu , C . 2005 . Some problems about the representation of monotone operators with convex functions . ANZIAM J. , 47 : 1 – 20 .
   Web of Science ®Google Scholar
• Svaiter , BF and Martínez-Legaz , JE . 2005 . Monotone operators representable by l.s.c. convex functions . J. Convex Anal. , 13 : 21 – 46 .
   Google Scholar
• Zalinescu , C . 2002 . Convex Analysis in General Vector Spaces , Singapore : World Scientific .
   Google Scholar