Search Results - "variational inequality"

Isotonicity of the Metric Projection by Lorentz Cone and Variational Inequalities by Kong, D., Liu, Lishan, Wu, Yong Hong

“…As an application, solutions of the classic variational inequality problem and the complementarity problem are found by the Picard iteration corresponding to the composition of the isotone metric projection onto the defining closed and convex set and the difference in the identity mapping and the defining mapping. …”
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Solving Lagrangian variational inequalities with applications to stochastic programming by Rockafellar, R.T., Sun, Jie

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On synchronal algorithm for fixed point and variational inequality problems in hilbert spaces by Mohammed, Lawan Bulama, Kilicman, Adem

“…The aim of this article is to expand and generalize some approximation methods proposed by Tian and Di (J Fixed Point Appl, 2011. doi:10.​1186/​1687-1812-21) to the class of (k,{μn},{ξn},ϕ)-total asymptotically strict pseudocontraction to solve the fixed point problem as well as variational inequality problem in the frame work of Hilbert space. …”
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Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging by Rockafellar, R., Sun, Jie

“…The concept of a stochastic variational inequality has recently been articulated in a new way that is able to cover, in particular, the optimality conditions for a multistage stochastic programming problem. …”
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The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces by Liu, Lishan, Kong, D., Wu, Yong Hong

“…We discuss Ky Fan’s theorem and the variational inequality problem for discontinuous mappings f in a Banach space X. …”
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Differential properties and optimality conditions for generalized weak vector variational inequalities by Zhu, S., Li, S., Teo, Kok Lay

“…In this paper, we study a generalized weak vector variational inequality, which is a generalization of a weak vector variational inequality and a Minty weak vector variational inequality. …”
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Variational inequality problems for total quasi-asymptotically nonexpansive mapping in Hilbert spaces by Kilicman, Adem, Mohammed, Lawan Bulama

“…In this paper, we study variational inequality problems for total quasi-asymptotically nonexpansive and uniformly k-Lipschitzian mappings. …”
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On a variational inequality problem for a finite family of nonexpansive mappings in Hilbert spaces by Mukhamedov, Farrukh, Saburov, Mansoor

“…In this paper, we prove the strong convergence of the explicit iterative process to a common fixed point of the finite family of nonexpansive mappings defined on Hilbert space, which solves the variational inequality on the fixed points set.…”
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Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces by Kong, Dezhou, Liu, Lishan, Wu, Yong Hong

“…Then, we demonstrate their applications to variational inequalities and fixed point theory in Banach spaces. …”
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Painleve-Kuratowski Convergences for the Solution Sets of Set-Valued Weak Vector Variational Inequalities by Fang, Z., Li, S., Teo, Kok

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A Stochastic Variational Inequality Approach to the Nash Equilibrium Model of a Manufacturer-Supplier Game under Uncertainty by Lu, Yuan, Sun, Jie, Zhang, Min, Zhang, Ying

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Convergence analysis of power penalty method for American bond option pricing by Zhang, K., Teo, Kok Lay

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A power penalty method for a bounded nonlinear complementarity problem by Wang, Song, Yang, X.

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The Elicited Progressive Decoupling Algorithm: A Note on the Rate of Convergence and a Preliminary Numerical Experiment on the Choice of Parameters by Sun, Jie, Zhang, M.

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Two-stage quadratic games under uncertainty and their solution by progressive hedging algorithms by Zhang, M., Sun, Jie, Xu, Honglei

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Semismooth homeomorphisms and strong stability of semidefinite and Lorentz complementarity problems by Pang, J.S., Sun, D., Sun, Jie

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A penalty approach to a discretized double obstacle problem with derivative constraints by Wang, Song

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Generalized stationary points and an interior-point method for mathematical programs with equilibrium constraints by Liu, X., Sun, Jie

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A new interpretation of the progressive hedging algorithm for multistage stochastic minimization problems by Sun, Jie, Xu, Honglei, Zhang, Min

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A class of two-stage distributionally robust games by Li, Bin, Sun, Jie, Xu, Honglei, Zhang, Min

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