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2013 HYBRID STEEPEST-DESCENT METHODS FOR TRIPLE HIERARCHICAL VARIATIONAL INEQUALITIES
Lu-Chuan Ceng, Ching-Feng Wen
Taiwanese J. Math. 17(4): 1441-1472 (2013). DOI: 10.11650/tjm.17.2013.2864

Abstract

In this paper, we consider a triple hierarchical variational inequality defined over the common solution set of minimization and mixed equilibrium problems. Combining the hybrid steepest-descent method, viscosity approximation method and averaged mapping approach to the gradient-projection algorithm, we propose two iterative methods: implicit one and explicit one, to compute the approximate solutions of our problem. The convergence analysis of the sequences generated by the proposed methods is also established.

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Lu-Chuan Ceng. Ching-Feng Wen. "HYBRID STEEPEST-DESCENT METHODS FOR TRIPLE HIERARCHICAL VARIATIONAL INEQUALITIES." Taiwanese J. Math. 17 (4) 1441 - 1472, 2013. https://doi.org/10.11650/tjm.17.2013.2864

Information

Published: 2013
First available in Project Euclid: 10 July 2017

zbMATH: 1276.49005
MathSciNet: MR3085520
Digital Object Identifier: 10.11650/tjm.17.2013.2864

Subjects:
Primary: 47H09, 47H10, 47J20, 49J40, 65K05

Rights: Copyright © 2013 The Mathematical Society of the Republic of China

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Vol.17 • No. 4 • 2013
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