Solution Existence of Variational Inequalities with Pseudomonotone Operators in the Sense of Brézis

B. T. Kien, M. M. Wong, N. C. Wong and J. C. Yao ()
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B. T. Kien: Hanoi University of Civil Engineering
M. M. Wong: Meiho Institute of Technology
N. C. Wong: National Sun Yat-Sen University
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2009, vol. 140, issue 2, No 5, 249-263

Abstract: Abstract This paper is concerned with the study of the solution existence of variational inequalities and generalized variational inequalities in reflexive Banach spaces with pseudomonotone operators in the sense of Brézis. The obtained results cover some preceding results in Browder (J. Funct. Anal. 11:251–294, 1972), Brézis (Ann. Inst. Fourier 18:115–175, 1968), Kinderlehrer and Stampacchia (An Introduction to Variational Inequalities and Their Applications, Academic Press, San Diego, 1980), Zeidler (Nonlinear Functional Analysis and Its Applications, II/B, Springer, Berlin, 1990).

Keywords: Variational inequalities; Generalized variational inequalities; Pseudomonotone operators; Solution existence (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-008-9446-7

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