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Locally Densely Defined Equilibrium Problems

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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.

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Acknowledgments

The authors would like to thank Prof. Dinh The Luc for taking time to read the paper and his valuable comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Razi University, Kermanshah, 67149, Iran

    Somaye Jafari & Ali Farajzadeh

  2. Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran

    Sirous Moradi

Authors
  1. Somaye Jafari
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  2. Ali Farajzadeh
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  3. Sirous Moradi
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Corresponding authors

Correspondence to Somaye Jafari or Ali Farajzadeh.

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Communicated by Byung-Soo Lee.

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Jafari, S., Farajzadeh, A. & Moradi, S. Locally Densely Defined Equilibrium Problems. J Optim Theory Appl 170, 804–817 (2016). https://doi.org/10.1007/s10957-016-0950-x

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