
Chapter 15
Variational Inequality Problems
and Algorithms
15.1 Monotone Functions ............................................. 213
15.2 The Split-Feasibility Problem .................................... 214
15.3 The Variational Inequality Problem ............................. 215
15.4 Korpelevich’s Method for the VIP ............................... 216
15.4.1 The Special Case of C = R
J
............................ 216
15.4.2 The General Case ........................................ 218
15.5 On Some Algorithms of Noor .................................... 220
15.5.1 A Conjecture ............................................ 220
15.6 Split Variational Inequality ...