Iterative Algorithm for Generalized Set-Valued Strongly Nonlinear Mixed Variational-Like Inequalities

L. C. Zeng, S. Schaible and J. C. Yao
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L. C. Zeng: Shanghai Normal University
S. Schaible: University of California
J. C. Yao: National Sun Yat-Sen University

Journal of Optimization Theory and Applications, 2005, vol. 124, issue 3, No 10, 725-738

Abstract: Abstract The auxiliary principle technique is extended to study the generalized strongly nonlinear mixed variational-like inequality problem for set-valued mappings without compact values. We establish first the existence of a solution of the related auxiliary problem. Then, the iterative algorithm for solving that problem is given by using this existence result. Moreover, the existence of a solution of the original problem and the convergence of iterative sequences generated by the algorithm are both derived.

Keywords: Mixed variational-like inequalities; auxiliary principle technique; iterative algorithms; existence theorems; set-valued mappings (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (8)

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DOI: 10.1007/s10957-004-1182-z

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