Published January 1, 2013 | Version v1
Publication Open

Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings

Creators

  • 1. Naresuan University

Description

LetKbe a nonempty compact convex subset of a topological vector space. In this paper-sufficient conditions are given for the existence ofx∈Ksuch thatF(T)∩VEP(F)≠∅, whereF(T)is the set of all fixed points of the multivalued mappingTandVEP(F)is the set of all solutions for vector equilibrium problem of the vector-valued mappingF. This leads us to generalize and improve some existence results in the recent references.

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

Translated Description (Arabic)

لتكنK مجموعة فرعية محدبة مضغوطة غير فارغة من فضاء متجه طوبولوجي. في هذه الورقة، يتم توفير ظروف كافية لوجود xK بحيث F (T) وهذا يقودنا إلى تعميم وتحسين بعض نتائج الوجود في المراجع الأخيرة.

Translated Description (French)

SoitK un sous-ensemble convexe compact non vide d'un espace vectoriel topologique. Dans ce document, des conditions suffisantes sont données pour l'existence dex∈K, telles queF(T) VEP(F)≠, oùF(T)est l'ensemble de tous les points fixes de la cartographie à valeurs multiples TetVEP(F)est l'ensemble de toutes les solutions pour le problème d'équilibre vectoriel de la cartographie à valeurs vectorielles F. Cela nous amène à généraliser et à améliorer certains résultats d'existence dans les références récentes.

Translated Description (Spanish)

SeaK un subconjunto convexo compacto no vacío de un espacio vectorial topológico. En este documento, se dan condiciones suficientes para la existencia dex∈K de modo queF(T) VEP(F)≠ ", dondeF(T)es el conjunto de todos los puntos fijos del mapeo multivalor TyVEP(F)es el conjunto de todas las soluciones para el problema de equilibrio vectorial del mapeo vectorial F. Esto nos lleva a generalizar y mejorar algunos resultados de existencia en las referencias recientes.

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Additional details

Additional titles

Translated title (Arabic)
وجود حلول لمشاكل توازن المتجهات والنقطة الثابتة للتعيينات متعددة القيم
Translated title (French)
Existence de solutions de problèmes d'équilibre vectoriel et de points fixes de mappages à valeurs multiples
Translated title (Spanish)
Soluciones de Existencia de Problemas de Equilibrio Vectorial y Punto Fijo de Mapas Multivaluados

Identifiers

Other
https://openalex.org/W2057498047
DOI
10.1155/2013/952021

Is supplement to
https://openalex.org/W2748952813 (Other)
https://openalex.org/W2530322880 (Other)
https://openalex.org/W2390279801 (Other)
https://openalex.org/W2382290278 (Other)
https://openalex.org/W2376932109 (Other)
https://openalex.org/W2358668433 (Other)
https://openalex.org/W2350741829 (Other)
https://openalex.org/W2073681303 (Other)
https://openalex.org/W2051487156 (Other)
https://openalex.org/W2001405890 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Thailand

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