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A Descent Method for Mixed Variational Inequalities 被引量:2

A Descent Method for Mixed Variational Inequalities
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摘要 A new descent method for solving mixed variational inequalities is developed based on the auxiliary principle problem. Convergence of the proposed method is also demonstrated.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2015年第6期1307-1311,共5页 系统科学与复杂性学报(英文版)
基金 supported by the National Natural Science Foundation of China under Grant No.71201093 the Research Fund for Doctoral Program of Ministry of Education of China under Grant No.20120131120084 the Promotive Research Fund for Excellent Young and Middle-aged Scientists of Shandong Province under Grant No.BS2012SF012 the Independent Innovation Foundation of Shandong University under Grant No.IFYT14011
关键词 Auxiliary principle problem descent direction mixed variational inequalities 混合变分不等式 求解方法 收敛性
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  • 1Cohen G, Optimization by decomposition and coordination: A unified approach, IEEE Transactions on Automatic Control, 1978, 23(2): 222-232.
  • 2Cohen G, Auxiliary problem principle and decomposition of optimization problems, Journal of Optimization Theory and Application, 1980, 32(3): 277-305.
  • 3Cohen G and Zhu D L, Decomposition coordination method in large-scale optimization problems: The nondierentiable case and the use of augmented lagrangians, Advances in Large-Scale Systems: Theory and Applications, Ed. by Cruz J B, JAI Press, Greenwich, Connecticut, 1984, 1: 203-266.
  • 4Cohen G, Auxiliary problem principle extended to variational inequalities, Journal of Optimization Theory and Application, 1988, 59(2): 325-333.
  • 5Zhu D L and Marcotte P, Co-coercivity and its role in the convergence of iterative schemes for solving variational inequalities, SIAM Journal of Optimization, 1996, 6(3): 714-726.
  • 6Verma R U, Generalized auxiliary problem principle and solvability of a class of nonlinear variational inequalities involving co coercive and co-lipschitzian mappings, Journal of Inequalities in Pure and Applied Mathematics, 2001, 2(3), article 27.
  • 7Stampacchia G, Formes bilineaires coercitives sur les ensembles convexes, C. R. Acad. Sci. Paris, 1964, 258: 4413-4416 (French).
  • 8Facchinei F and Pang J S, Finite-Dimensional Variational Inequalities and Complementarity Problems, Vols. 1 and 2, Springer, New Yourk, 2003.
  • 9Noor M A, A new iterative method for mixed variational inequalities, Mathematical and Computer Modelling, 1997, 26(7): 29-34.
  • 10Noor M A, Numerical methods for mixed variational inequalities, Advance Nonlinear Variational Inequalities, 1998, 1: 51-79.

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