Results 11 to 20 of about 509 (71)
M-matrix and inverse M-matrix extensions
Special Matrices, 2020 A class of matrices that simultaneously generalizes the M-matrices and the inverse M-matrices is brought forward and its properties are reviewed. It is interesting to see how this class bridges the properties of the matrices it generalizes and provides a
McDonald J.J. +6 more
doaj +1 more source
Forward‐backward resolvent splitting methods for general mixed variational inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 43, Page 2759-2770, 2003., 2003 We use the technique of updating the solution to suggest and analyze a class of new splitting methods for solving general mixed variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Our methods differ from the known three‐step forward‐backward splitting of
Muhammad Aslam Noor +2 more
wiley +1 more source
Lattice-like operations and isotone projection sets [PDF]
, 2013 By using some lattice-like operations which constitute extensions of ones introduced by M. S. Gowda, R. Sznajder and J. Tao for self-dual cones, a new perspective is gained on the subject of isotonicity of the metric projection onto the closed convex ...
Németh, A. B., Németh, S. Z.
core +1 more source
Projective algorithms for solving complementarity problems
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 2, Page 99-113, 2002., 2002 We present robust projective algorithms of the von Neumann type for the linear complementarity problem and for the generalized linear complementarity problem. The methods, an extension of Projections Onto Convex Sets (POCS) are applied to a class of problems consisting of finding the intersection of closed nonconvex sets. We give conditions under which
Caroline N. Haddad, George J. Habetler
wiley +1 more source
Demonstratio Mathematica, 2020 In this work, we introduce two new inertial-type algorithms for solving variational inequality problems (VIPs) with monotone and Lipschitz continuous mappings in real Hilbert spaces.
Alakoya Timilehin Opeyemi +2 more
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Generalized strongly set‐valued nonlinear complementarity problems
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 597-604, 1999., 1999 In this paper, we introduce a new class of generalized strongly set‐valued nonlinear complementarity problems and construct new iterative algorithms. We show the existence of solutions for this kind of nonlinear complementarity problems and the convergence of iterative sequences generated by the algorithm. Our results extend some recent results in this
Nan-Jing Huang, Yeol Je Cho
wiley +1 more source
A primal-dual approach of weak vector equilibrium problems
Open Mathematics, 2018 In this paper we provide some new sufficient conditions that ensure the existence of the solution of a weak vector equilibrium problem in Hausdorff topological vector spaces ordered by a cone.
László Szilárd
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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
wiley +1 more source
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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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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