Iterative Methods for Triple Hierarchical Variational Inequalities in Hilbert Spaces

Lu-Chuan Ceng (), Qamrul Hasan Ansari () and Jen-Chih Yao ()
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Lu-Chuan Ceng: Shanghai Normal University
Qamrul Hasan Ansari: Aligarh Muslim University
Jen-Chih Yao: Kaohsiung Medical University

Journal of Optimization Theory and Applications, 2011, vol. 151, issue 3, No 4, 489-512

Abstract: Abstract In this paper, we consider a variational inequality with a variational inequality constraint over a set of fixed points of a nonexpansive mapping called triple hierarchical variational inequality. We propose two iterative methods, one is implicit and another one is explicit, to compute the approximate solutions of our problem. We present an example of our problem. The convergence analysis of the sequences generated by the proposed methods is also studied.

Keywords: Triple hierarchical variational inequalities; Iterative methods; Implicit schemes; Explicit schemes; Fixed points; Nonexpansive mappings (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-011-9882-7

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