Published January 1, 2014 | Version v1
Publication Open

Strong Convergence of an Iterative Algorithm for Hierarchical Problems

Creators

  • 1. King Mongkut's University of Technology Thonburi
  • 2. Rajamangala University of Technology Lanna

Description

We introduce the triple hierarchical problem over the solution set of the variational inequality problem and the fixed point set of a nonexpansive mapping. The strong convergence of the algorithm is proved under some mild conditions. Our results extend those of Yao et al., Iiduka, Ceng et al., and other authors.

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

Translated Description (Arabic)

نقدم المسألة الهرمية الثلاثية على مجموعة الحلول لمسألة المتباينة المتباينة ومجموعة النقاط الثابتة لرسم الخرائط غير المتوسعة. يتم إثبات التقارب القوي للخوارزمية في ظل بعض الظروف المعتدلة. تمتد نتائجنا إلى نتائج ياو وآخرون.، Iiduka، Ceng et al.، ومؤلفون آخرون.

Translated Description (French)

Nous introduisons le problème triple hiérarchique sur l'ensemble de solutions du problème d'inégalité variationnelle et l'ensemble de points fixes d'une cartographie non expansive. La forte convergence de l'algorithme est prouvée dans certaines conditions douces. Nos résultats prolongent ceux de Yao et al., Iiduka, Ceng et al., et d'autres auteurs.

Translated Description (Spanish)

Introducimos el problema jerárquico triple sobre el conjunto de soluciones del problema de desigualdad variacional y el conjunto de puntos fijos de un mapeo no expansivo. La fuerte convergencia del algoritmo se demuestra en algunas condiciones suaves. Nuestros resultados amplían los de Yao et al., Iiduka, Ceng et al., y otros autores.

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Additional details

Additional titles

Translated title (Arabic)
تقارب قوي لخوارزمية تكرارية للمشاكل الهرمية
Translated title (French)
Forte convergence d'un algorithme itératif pour les problèmes hiérarchiques
Translated title (Spanish)
Fuerte convergencia de un algoritmo iterativo para problemas jerárquicos

Identifiers

Other
https://openalex.org/W1967582506
DOI
10.1155/2014/678147

Is supplement to
https://openalex.org/W4300298440 (Other)
https://openalex.org/W2739670737 (Other)
https://openalex.org/W2351336444 (Other)
https://openalex.org/W1997130148 (Other)
https://openalex.org/W1990089414 (Other)
https://openalex.org/W1989269206 (Other)
https://openalex.org/W1978234819 (Other)
https://openalex.org/W1954129958 (Other)
https://openalex.org/W1527893101 (Other)
https://openalex.org/W1481730903 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Thailand

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