Results 11 to 20 of about 2,551 (262)
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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Variational Inequality Problems with a Continuum of Solutions: Existence and Computation [PDF]
SIAM Journal on Control and Optimization, 2000 Summary: In this paper three sufficient conditions are provided under each of which an upper semicontinuous point-to-set mapping defined on an arbitrary polytope has a connected set of zero points that connect two distinct faces of the polytope. Furthermore, we obtain an existence theorem of a connected set of solutions to a nonlinear variational ...
P. Jean-Jacques Herings +2 more
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Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces
Journal of Applied Mathematics, 2014 We consider the variational inequality problem for a family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space.
Yasunori Kimura, Kazuhide Nakajo
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The uniqueness of the solution for the definite problem of a parabolic variational inequality
Journal of Inequalities and Applications, 2016 The uniqueness of the solution for the definite problem of a parabolic variational inequality is proved. The problem comes from the study of the optimal exercise strategies for the perpetual executive stock options with unrestricted exercise in financial
Liping Song, Wanghui Yu
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Tykhonov well-posedness of split problems
Journal of Inequalities and Applications, 2020 In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is to extend the results in (J. Optim.
Qiao-yuan Shu +2 more
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