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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 1995; 32(3): 493-507

Printed September 1, 1995

Copyright © The Korean Mathematical Society.

On the Browder-Hartman-Stampacchia variational inequality

S. S. Chang, K. S. Ha, Y. J. Cho, and C. J. Zhang

Sichuan University, Pusan National University, Gyeongsang National University, and Huaibei Coal Teacher's College

Abstract

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In a more general setting, we show the existence of solutions for the Browder-Hartman-Stampacchia variational inequality, which improves and generalizes the recent results in [5] and [11].

Keywords: Browder-Hartman-Stampacchia variational inequality, quasi-convex and quasi-concave functionals, KKM-mapping

MSC numbers: 49A29, 49J35

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