1. ITERATIVE ALGORITHMS AND CONVERGENCE THEOREMS FOR SOLVING $F$-IGVIP AND $F$-IGCP
- Author
-
Yen-Cherng Lin
- Subjects
iterative algorithm ,Iterative method ,General Mathematics ,Normal convergence ,$F$-IGCP ,90C33 ,Complementarity theory ,partially relaxed $g$-strongly monotone ,Convergence (routing) ,Variational inequality ,Convergence tests ,Algorithm ,Modes of convergence ,$F$-IGVIP ,49J40 ,Compact convergence ,Mathematics - Abstract
In this paper, we study the iterative algorithm and convergence theorems for $F$-implicit generalized variational inequalities problem ($F$-IGVIP). By employing our earlier works ([6], Theorem 2.2), we establish several iterative convergence results for $F$-IGVIP. The algorithm and convergence results are new for solving the strong solution of $F$-IGVIP. Furthermore, new algorithms and convergence theorems for $F$-implicit generalized complementarity problem ($F$-IGCP) are also discussed.
- Published
- 2007