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http://dx.doi.org/10.4134/JKMS.2003.40.2.195

GENERALIZED SET-VALVED STRONGLY NONLINEAR VARIATIONAL INEQUALITIES IN BANACH SPACES  

Cho, Y.J. (Department of Mathematics Gyeongsan national University)
Fang, Y.P. (Department of Mathemetics Sichuan University)
Huang, N.J. (Department of Mathemetics Sichuan University)
Kim, K.H. (Department of Mathematics Gyeongsan national University)
Publication Information
Journal of the Korean Mathematical Society / v.40, no.2, 2003 , pp. 195-205 More about this Journal
Abstract
In this paper, we introduce and study a new class of generalized strongly nonlinear variational inequalities with setvalued mappings. By using the KKM technique, we prove the existence and uniqueness of solution for this class of generalized setvalued strongly nonlinear variational inequalities in reflexive Banach spaces. Our results include the main results of Verma ［16］, ［17］ as special cases.
Keywords
strongly nonlinear variational inequality; set valued-mapping; generalized monotone type mapping; generalized Lipschitzian type mapping; the KKm mapping;
Citations & Related Records

Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
연도 인용수 순위
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