Equilibrium Problems with Generalized Monotone Bifunctions and Applications to Variational Inequalities

O. Chaldi, Z. Chbani and H. Riahi
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O. Chaldi: University Cadi Ayyad
Z. Chbani: University Cadi Ayyad
H. Riahi: University Cadi Ayyad

Journal of Optimization Theory and Applications, 2000, vol. 105, issue 2, No 4, 299-323

Abstract: Abstract This paper attempts to generalize and unify several new results that have been obtained in the ongoing research area of existence of solutions for equilibrium problems. First, we propose sufficient conditions, which include generalized monotonicity and weak coercivity conditions, for existence of equilibrium points. As consequences, we generalize various recent theorems on the existence of such solutions. For applications, we treat some generalized variational inequalities and complementarity problems. In addition, considering penalty functions, we study the position of a selected solution by relying on the viscosity principle.

Keywords: equilibrium problems; monotone bifunctions and operators; variational inequalities; complementarity problems; viscosity principle (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (19)

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DOI: 10.1023/A:1004657817758

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