First, a general framework for the auxiliary problem principle is introduced and then it is applied to the approximation-solvability of the following class of nonlinear variational inequality problems (NVIP) involving partially relaxed monotone mappings. Find an element r\* E K such that (T(zc'), z
β¦ LIBER β¦
On the Application of the Auxiliary Problem Principle
β Scribed by A. Losi; M. Russo
- Book ID
- 110440054
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 157 KB
- Volume
- 117
- Category
- Article
- ISSN
- 0022-3239
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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 fro