Equilibrium Problems with Applications to Eigenvalue Problems

O. Chadli, N.C. Wong and J.C. Yao
Additional contact information
O. Chadli: Université Ibn Zohr
N.C. Wong: National Sun Yat-Sen University
J.C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2003, vol. 117, issue 2, No 2, 245-266

Abstract: Abstract In this paper, we consider equilibrium problems and introduce the concept of (S)+ condition for bifunctions. Existence results for equilibrium problems with the (S)+ condition are derived. As special cases, we obtain several existence results for the generalized nonlinear variational inequality studied by Ding and Tarafdar (Ref. 1) and the generalized variational inequality studied by Cubiotti and Yao (Ref. 2). Finally, applications to a class of eigenvalue problems are given.

Keywords: Equilibrium problems; bifunctions; (S)+ condition; general nonlinear variational inequalities; generalized variational inequalities; eigenvalue problems (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (9)

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DOI: 10.1023/A:1023627606067

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