LEVITIN-POLYAK WELL-POSEDNESS FOR GENERALIZED QUASI-VARIATIONAL INCLUSION AND DISCLUSION PROBLEMS AND OPTIMIZATION PROBLEMS WITH CONSTRAINTS
| Autor: | Nan-Jing Huang, San-Hua Wang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Optimization problem
generalized quasi-variational disclusion problem 49J27 General Mathematics Scalar (physics) Mathematics::Analysis of PDEs Levitin-Polyak well-posedness approximating solution sequence Mathematics::Spectral Theory Mathematics::Geometric Topology generalized quasi-variational inclusion problem Calculus Applied mathematics optimization problem Inclusion (education) 49J40 Well posedness Mathematics |
| Zdroj: | Taiwanese J. Math. 16, no. 1 (2012), 237-257 |
| Popis: | In this paper, Levitin-Polyak well-posedness for generalized quasi-variational inclusion and disclusion problems are introduced and studied. Necessary and sufficient conditions for Levitin-Polyak well-posedness of these problems are proved. Moreover, Levitin-Polyak well-posedness for optimization problems with generalized quasi-variational inclusion problems, generalized quasi-variational disclusion problems and scalar generalized quasi-equilibrium problems as constraints are also given under some suitable conditions. |
| Databáze: | OpenAIRE |
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