
Chapter 8
Convex Feasibility and Related
Problems
8.1 Convex Constraint Sets .......................................... 104
8.1.1 Convex Feasibility ....................................... 104
8.1.2 Constrained Optimization ............................... 104
8.1.3 Proximity Function Minimization ....................... 104
8.1.4 The Split-Feasibility Problem ........................... 104
8.1.5 Differentiability .......................................... 105
8.2 Using Orthogonal Projections ................................... 108
8.2.1 Successive Orthogonal Projection ....................... 108
8.2.2 Simultaneous Orthogonal Projection .................... ...