Locally Densely Defined Equilibrium Problems

Somaye Jafari (), Ali Farajzadeh () and Sirous Moradi
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Somaye Jafari: Razi University
Ali Farajzadeh: Razi University
Sirous Moradi: Arak University

Journal of Optimization Theory and Applications, 2016, vol. 170, issue 3, No 6, 804-817

Abstract: Abstract In this paper, by an approach, which is based on a notion of sequentially sign property for bifunctions, we establish existence results for equilibrium problems in the setting of Hausdorff locally convex topological vector spaces. The main advantages of this approach are that our conditions are imposed just on a locally segment-dense set, instead of the whole domain.

Keywords: Equilibrium problem; Locally segment-dense set; Sequentially sign property; Quasimonotonicity; 47H04; 47H05; 26B25; 26E25; 90C33 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10957-016-0950-x

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