Results 21 to 30 of about 194 (92)
Journal of Inequalities and Applications, 2014 In this paper, we propose a logarithmic-quadratic proximal alternating direction method for structured variational inequalities. The predictor is obtained by solving series of related systems of nonlinear equations, and the new iterate is obtained by a ...
A. Bnouhachem, A. Hamdi
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, 2015 : In this paper we generalize an infeasible interior-point method for linear optimization to horizontal linear complementarity problem (HLCP). This algorithm starts from strictly feasible iterates on the central path of a perturbed problem that is ...
S. Asadi, H. Mansouri
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Sensitivity analysis for variational inclusions by Wiener‐Hopf equation techniques
International Journal of Stochastic Analysis, Volume 12, Issue 3, Page 223-232, 1999., 1998 In this paper, we extend the sensitivity analysis framework developed recently for variational inequalities by Noor and Yen to variational inclusions relying on Wiener‐Hopf equation techniques. We prove the continuity and the Lipschitz continuity of the locally unique solution to parametric variational inclusions without assuming differentiability of ...
Abdellatif Moudafi, Muhammad Aslam Noor
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Journal of Inequalities and Applications, 2014 In this paper, we proposed a logarithmic-quadratic proximal alternating direction method for structured variational inequalities. The new iterate is obtained by a convex combination of the previous point and the one generated by a projection-type method ...
A. Bnouhachem
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On hemicontinuity of bifunctions for solving equilibrium problems
Advances in Nonlinear Analysis, 2014 This paper deals with solving equilibrium problems under local conditions on equilibrium bifunctions. Some techniques first considered for multivalued mixed variational inequalities are investigated and applied to equilibrium problems.
Alleche Boualem
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Convergence analysis of the iterative methods for quasi complementarity problems
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 2, Page 319-334, 1988., 1988 In this paper, we consider the iterative methods for the quasi complementarity problems of the form where m is a point‐to‐point mapping and T is a continuous mapping from Rn into itself. The algorithms considered in this paper are general and unified ones, which include many existing algorithms as special cases for solving the complementarity problems.
Muhammad Aslam Noor
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Journal of Inequalities and Applications, 2014 In this paper, we investigate a common fixed point problem of a finite family of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense and an equilibrium problem.
Chunyan Huang, Xiaoyan Ma
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A new smoothing method for solving nonlinear complementarity problems
Open Mathematics, 2019 In this paper, a new improved smoothing Newton algorithm for the nonlinear complementarity problem was proposed. This method has two-fold advantages. First, compared with the classical smoothing Newton method, our proposed method needn’t nonsingular of ...
Zhu Jianguang, Hao Binbin
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Iterative methods for nonlinear quasi complementarity problems
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 2, Page 339-344, 1987., 1986 In this paper, we consider and study an iterative algorithm for finding the approximate solution of the nonlinear quasi complementarity problem of finding u ϵ k(u) such that where m is a point‐to‐point mapping, T is a (nonlinear) continuous mapping from a real Hilbert space H into itself and k*(u) is the polar cone of the convex cone k(u) in H. We also
Muhammad Aslam Noor
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New error bounds for linear complementarity problems of Σ-SDD matrices and SB-matrices
Open Mathematics, 2019 A new error bound for the linear complementarity problem (LCP) of Σ-SDD matrices is given, which depends only on the entries of the involved matrices. Numerical examples are given to show that the new bound is better than that provided by García-Esnaola ...
Hou Zhiwu, Jing Xia, Gao Lei
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