Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup

• Binayak S Choudhury ^[1] ; Subhajit Kundu ^[1]
  1. [1] Bengal Engineering and Science University Shibpur Department of Mathematics
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 15, Nº. 3, 2013, págs. 9-18
• Idioma: inglés
• DOI: 10.4067/S0719-06462013000300002
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo hemos definido una iteración nueva para resolver un problema de equilibrio en espacios de Hilbert. La iteración que introducimos es de tipo viscoso e involucra un semigrupo de operadores no expansivos. Hemos establecido que dependiendo de las condiciones de control, nuestra iteración converge fuertemente a una solución de un problema de equilibrio.

  • English

    In this paper we have defined a new iteration in order to solve an equilibrium problem in Hilbert spaces. The iteration we have introduced is a viscosity type iteration and involves a semigroup of nonexpansive operators. We have established that depending on some control conditions, our iteration strongly converges to a solution of the equilibrium problem.

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