Split hierarchical variational inequality problems and related problems-Reference-Cited by-同舟云学术

Split hierarchical variational inequality problems and related problems

Published:2014-10-13 Issue:1 Volume:2014 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Ansari Qamrul Hasan,Nimana Nimit,Petrot Narin

Abstract

Abstract The main objective of this paper is to introduce a split hierarchical variational inequality problem. Several related problems are also considered. We propose an iterative method for finding a solution of our problem. The weak convergence of the sequence generated by the proposed method is studied. MSC:47H09, 47H10, 47J25, 49J40, 65K10.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2014-208.pdf

Reference27 articles.

1. Censor Y, Elfving T: A multiprojection algorithm using Bregman projections in product space. Numer. Algorithms 1994, 8: 221–239. 10.1007/BF02142692

2. Byrne C: Iterative oblique projection onto convex sets and the split feasibility problem. Inverse Probl. 2002, 18: 441–453. 10.1088/0266-5611/18/2/310

3. Censor Y, Elfving T, Kopf N, Bortfeld T: The multiple-sets split feasibility problem and its applications for inverse problems. Inverse Probl. 2005, 21: 2071–2084. 10.1088/0266-5611/21/6/017

4. Censor Y, Bortfeld T, Martin B, Trofimov A: A unified approach for inversion problems in intensity modulated radiation therapy. Phys. Med. Biol. 2006, 51: 2353–2365. 10.1088/0031-9155/51/10/001

5. Xu HK: Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces. Inverse Probl. 2010., 26: Article ID 105018

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