✦ LIBER ✦
Role of twice fréchet-differentiable mappings in general auxiliary problem principle
✍ Scribed by E.-B. Lin; R.U. Verma
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 574 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
✦ Synopsis
The approximation-solvability of the following class of nonlinear variational inequality problems (NVIP) based on the general auxiliary problem principle (GAPP) is discussed. Find an element I' E K such that (T(z1),2 -I*) + f(z) -f(l') 2 0, for all 2 E K, where T : K + E' is a nonlinear mapping from a nonempty closed convex subset K of a reflexive
Banach space E into its dual E', and f : K + R is a continuous convex functional on K.