Strong Vector Equilibrium Problems in Topological Vector Spaces Via KKM Maps

• A.P Farajzadeh ^[1] ; A Amini-Harandi ^[3] ; D O’Regan ^[3] ; R.P Agarwal ^[2]
  1. [1] Razi University

     Razi University

     Irán

     
  2. [2] Florida Institute of Technology

     Florida Institute of Technology

     Estados Unidos

     
  3. [3] University of Shahrekord Department of Mathematics

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• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 12, Nº. 1, 2010, págs. 219-230
• Idioma: inglés
• DOI: 10.4067/S0719-06462010000100018
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo, establecemos algunos resultados de existencia para problemas de equilibrio strong vector en espacios vectoriales topológicos (abreviadamente, SVEP). La salubilidad del SVEP es presentada usando el lema de Fan-KKM. Estos resultados dan una respuesta positiva a problemas abiertos propuestos por Chen y Hon y generalizan varios resultados importantes en la literatura reciente.

  • English

    In this paper, we establish some existence results for strong vector equilibrium problems (for short, SVEP) in topological vector spaces. The solvability of the SVEP is presented using the Fan-KKM lemma. These results give a positive answer to an open problem proposed by Chen and Hou and generalize many important results in the recent literature.

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