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http://dx.doi.org/10.14317/jami.2011.29.5_6.1453

EXISTENCE OF SOLUTIONS FOR GENERALIZED NONLINEAR VARIATIONAL-LIKE INEQUALITY PROBLEMS IN BANACH SPACES  

Jeong, Jae-Ug (Department of Mathematics, Dongeui University)
Publication Information
Journal of applied mathematics & informatics / v.29, no.5_6, 2011 , pp. 1453-1462 More about this Journal
Abstract
In this paper, we study a new class of generalized nonlinear variational-like inequalities in reflexive Banach spaces. By using the KKM technique and the concept of the Hausdorff metric, we obtain some existence results for generalized nonlinear variational-like inequalities with generalized monotone multi-valued mappings in Banach spaces. These results improve and generalize many known results in recent literature.
Keywords
Variational-like inequality; Generalized monotone multi-valued mapping; KKM mapping; Hausdorff metric; Reflexive Banach space;
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