Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces

Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces

This paper aims to discuss the solvability of some perturbed generalized variational inequalities with both the mapping and the constraint set perturbed simultaneously in reflexive Banach spaces, under some coercivity conditions. In particular, a new result that the set is directional perturbed is p...

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Veröffentlicht in:Journal of function spaces 2018-01, Vol.2018 (2018), p.1-7
1. Verfasser: Luo, Xue-ping
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Coercivity
Control systems
Estimates
Inequalities
Mathematical problems
Mathematical programming
Mathematics
Operations research
Regularization methods
Sensitivity analysis
Theory
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Zusammenfassung:This paper aims to discuss the solvability of some perturbed generalized variational inequalities with both the mapping and the constraint set perturbed simultaneously in reflexive Banach spaces, under some coercivity conditions. In particular, a new result that the set is directional perturbed is presented. The main results generalize and extend some known results in this area.
ISSN:2314-8896
2314-8888
DOI:10.1155/2018/3897495