Published December 21, 2010 | Version v1
Publication Open

Strong Convergence Theorem for Equilibrium Problems and Fixed Points of a Nonspreading Mapping in Hilbert Spaces

Creators

  • 1. Naresuan University

Description

Abstract We introduce an iterative method for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of a nonspreading mapping in a Hilbert space. Then, we prove a strong convergence theorem which is connected with the work of S. Takahashi and W. Takahashi (2007) and Iemoto and Takahashi (2009).

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

الملخص نقدم طريقة تكرارية لإيجاد عنصر مشترك في مجموعة حلول مسائل التوازن ومجموعة النقاط الثابتة لرسم الخرائط غير المنتشرة في مساحة هيلبرت. بعد ذلك، نثبت نظرية تقارب قوية مرتبطة بعمل S. Takahashi و W. Takahashi (2007) و Iemoto و Takahashi (2009).

Translated Description (French)

Résumé Nous introduisons une méthode itérative pour trouver un élément commun de l'ensemble des solutions des problèmes d'équilibre et de l'ensemble des points fixes d'une cartographie non étalante dans un espace de Hilbert. Ensuite, nous prouvons un fort théorème de convergence qui est lié aux travaux de S. Takahashi et W. Takahashi (2007) et Iemoto et Takahashi (2009).

Translated Description (Spanish)

Resumen Introducimos un método iterativo para encontrar un elemento común del conjunto de soluciones de problemas de equilibrio y el conjunto de puntos fijos de un mapeo no expansivo en un espacio de Hilbert. Luego, demostramos un fuerte teorema de convergencia que está conectado con el trabajo de S. Takahashi y W. Takahashi (2007) e Iemoto y Takahashi (2009).

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Additional details

Additional titles

Translated title (Arabic)
نظرية التقارب القوي لمشاكل التوازن والنقاط الثابتة لرسم الخرائط غير المنتشرة في مساحات هيلبرت
Translated title (French)
Théorème de convergence forte pour les problèmes d'équilibre et les points fixes d'une cartographie non étalée dans les espaces de Hilbert
Translated title (Spanish)
Teorema de convergencia fuerte para problemas de equilibrio y puntos fijos de un mapeo no extendido en espacios de Hilbert

Identifiers

Other
https://openalex.org/W2006069563
DOI
10.1155/2010/296759

Is supplement to
https://openalex.org/W4323058680 (Other)
https://openalex.org/W4249977926 (Other)
https://openalex.org/W3123504591 (Other)
https://openalex.org/W2985828462 (Other)
https://openalex.org/W2846516035 (Other)
https://openalex.org/W2585118952 (Other)
https://openalex.org/W2369544116 (Other)
https://openalex.org/W2354765335 (Other)
https://openalex.org/W2012141574 (Other)
https://openalex.org/W1691643469 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Thailand

References

  • https://openalex.org/W178044176
  • https://openalex.org/W1969033420
  • https://openalex.org/W1977111935
  • https://openalex.org/W1986801741
  • https://openalex.org/W2006464304
  • https://openalex.org/W2008590178
  • https://openalex.org/W2031940456
  • https://openalex.org/W2033943991
  • https://openalex.org/W2045554006
  • https://openalex.org/W2047605837
  • https://openalex.org/W2053487511
  • https://openalex.org/W2056838549
  • https://openalex.org/W2069435104
  • https://openalex.org/W2073163826
  • https://openalex.org/W2073953242
  • https://openalex.org/W2083458885
  • https://openalex.org/W2094812889
  • https://openalex.org/W2166030535
  • https://openalex.org/W4210953350
  • https://openalex.org/W4234068421
  • https://openalex.org/W4300352410
  • https://openalex.org/W612220516