Hybrid steepest descent viscosity method for triple hierarchical variational inequalities

L. C. Ceng; Q. H. Ansari; C. F. Wen

doi:10.1155/2012/907105

Hybrid steepest descent viscosity method for triple hierarchical variational inequalities

L. C. Ceng, Q. H. Ansari, C. F. Wen^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider a triple hierarchical variational inequality problem (in short, THVIP). By combining hybrid steepest descent method, viscosity method, and projection method, we propose an approximation method to compute the approximate solution of THVIP. We also study the strong convergence of the sequences generated by the proposed method to a solution of THVIP.

Original language	English
Article number	907105
Journal	Abstract and Applied Analysis
Volume	2012
DOIs	https://doi.org/10.1155/2012/907105
State	Published - 2012
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "Hybrid steepest descent viscosity method for triple hierarchical variational inequalities",

abstract = "We consider a triple hierarchical variational inequality problem (in short, THVIP). By combining hybrid steepest descent method, viscosity method, and projection method, we propose an approximation method to compute the approximate solution of THVIP. We also study the strong convergence of the sequences generated by the proposed method to a solution of THVIP.",

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year = "2012",

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journal = "Abstract and Applied Analysis",

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T1 - Hybrid steepest descent viscosity method for triple hierarchical variational inequalities

AU - Ceng, L. C.

AU - Ansari, Q. H.

AU - Wen, C. F.

PY - 2012

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N2 - We consider a triple hierarchical variational inequality problem (in short, THVIP). By combining hybrid steepest descent method, viscosity method, and projection method, we propose an approximation method to compute the approximate solution of THVIP. We also study the strong convergence of the sequences generated by the proposed method to a solution of THVIP.

AB - We consider a triple hierarchical variational inequality problem (in short, THVIP). By combining hybrid steepest descent method, viscosity method, and projection method, we propose an approximation method to compute the approximate solution of THVIP. We also study the strong convergence of the sequences generated by the proposed method to a solution of THVIP.

UR - https://www.scopus.com/pages/publications/84867773095

U2 - 10.1155/2012/907105

DO - 10.1155/2012/907105

M3 - Article

AN - SCOPUS:84867773095

SN - 1085-3375

VL - 2012

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 907105

ER -

Hybrid steepest descent viscosity method for triple hierarchical variational inequalities

Abstract

ASJC Scopus subject areas

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