Generalized Symmetric Vector Quasiequilibrium Problems

M. Fakhar () and J. Zafarani
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M. Fakhar: University of Isfahan
J. Zafarani: University of Isfahan and Sheikhbahaee University

Journal of Optimization Theory and Applications, 2008, vol. 136, issue 3, No 6, 397-409

Abstract: Abstract We establish an existence result for scalar quasiequilibrium problems without any continuity requirement on noncompact subsets of locally convex topological vector spaces. As a consequence, we obtain a solution of symmetric scalar quasiequilibrium problem. Moreover, using a so-called nonlinear scalarization function, existence theorems for vector quasiequilibrium problems and general symmetric vector quasiequilibrium problems are obtained.

Keywords: Quasiequilibrium problems; Generalized vector quasiequilibrium problems; Generalized symmetric vector quasiequilibrium problems; Scalarization methods (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10957-007-9310-1

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