Results 11 to 20 of about 527,853 (307)
Journal of Mathematics, 2021 In this paper, we study a set-valued extended generalized nonlinear mixed variational inequality problem and its generalized resolvent dynamical system. A three-step iterative algorithm is constructed for solving set-valued extended generalized nonlinear
Iqbal Ahmad +3 more
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Mathematics, 2019 In the present work, we introduce a hybrid Mann viscosity-like implicit iteration to find solutions of a monotone classical variational inequality with a variational inequality constraint over the common solution set of a general system of variational ...
Lu-Chuan Ceng, Qing Yuan
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Journal of Mathematics, 2021 In this paper, we consider a generalized mixed variational-like inequality problem and prove a Minty-type lemma for its related auxiliary problems in a real Banach space.
Saud Fahad Aldosary +3 more
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Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities
Abstract and Applied Analysis, 2013 We consider a triple hierarchical variational inequality problem (THVIP), that is, a variational inequality problem defined over the set of solutions of another variational inequality problem which is defined over the intersection of the fixed point set ...
Zhao-Rong Kong +3 more
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A New Gap Function for Vector Variational Inequalities with an Application
Journal of Applied Mathematics, 2013 We consider a vector variational inequality in a finite-dimensional space. A new gap function is proposed, and an equivalent optimization problem for the vector variational inequality is also provided.
Hui-qiang Ma +3 more
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An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities
Journal of Mathematics, 2022 In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational ...
Tzu-Chien Yin +2 more
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Complexity, 2021 In this paper, the variational inequality with constraints can be viewed as an optimization problem. Using Lagrange function and projection operator, the equivalent operator equations for the variational inequality with constraints under the certain ...
Li Wang, Xingxu Chen, Juhe Sun
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Deterministic Bi-Criteria Model for Solving Stochastic Mixed Vector Variational Inequality Problems
Mathematics, 2023 In this paper, we consider stochastic mixed vector variational inequality problems. Firstly, we present an equivalent form for the stochastic mixed vector variational inequality problems.
Meiju Luo, Menghan Du, Yue Zhang
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Generalized Quasi-Variational-Like Inequality Problem [PDF]
Mathematics of Operations Research, 1993 This paper gives some very general results on the generalized quasi-variational-like inequality problem. Since the problem includes all the existing extensions of the classical variational inequality problem as special cases, our existence theorems extend the previous results in the literature by relaxing both continuity and concavity of the ...
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A variational-like inequality problem [PDF]
Bulletin of the Australian Mathematical Society, 1989 Given a closed and convex set K in Rn and two continuous maps F: K → Rn and η: K × K → Rn, the problem considered here is to find ε K such that.We call it a variational-like inequality problem, and develop a theory for the existence of a solution.
Parida, J., Sahoo, M., Kumar, A.
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