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Splitting Algorithms for General Pseudomonotone Mixed Variational Inequalities (2000)

NOOR, MUHAMMAD ASLAM

Springer

Journal of global optimization 18 (2000), S. 75-89

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ISSN: 1573-2916

Keywords: Variational inequalities ; Resolvent equations ; Iterative methods ; Convergence ; Fixed points

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper, we suggest and analyze a number of resolvent-splitting algorithms for solving general mixed variational inequalities by using the updating technique of the solution. The convergence of these new methods requires either monotonicity or pseudomonotonicity of the operator. Proof of convergence is very simple. Our new methods differ from the existing splitting methods for solving variational inequalities and complementarity problems. The new results are versatile and are easy to implement.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1008322118873

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