Convergence and stability of a three-step iterative algorithm for a general quasi-variational inequality problem [PDF]
Fixed Point Theory and Applications, 2006 We consider a general quasi-variational inequality problem involving nonlinear, nonconvex and nondifferentiable term in uniformly smooth Banach space. Using retraction mapping and fixed point method, we study the existence of solution of general quasi ...
M. I. Bhat, K. R. Kazmi
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An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality
Journal of Applied Mathematics, 2020 This paper is concerned with an optimal control problem governed by a Kirchhoff-type variational inequality. The existence of multiplicity solutions for the Kirchhoff-type variational inequality is established by using some nonlinear analysis techniques ...
Chengfu Wang, Pengcheng Wu, Yuying Zhou
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A New System of Multivalued Mixed Variational Inequality Problem [PDF]
Abstract and Applied Analysis, 2014 We consider a new system of multivalued mixed variational inequality problem, which includes some known systems of variational inequalities as special cases.
Xi Li, Xue-song Li
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Gap Functions and Algorithms for Variational Inequality Problems [PDF]
Journal of Applied Mathematics, 2013 We solve several kinds of variational inequality problems through gap functions, give algorithms for the corresponding problems, obtain global error bounds, and make the convergence analysis.
Congjun Zhang, Baoqing Liu, Jun Wei
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Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces [PDF]
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 [PDF]
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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Algorithms for Solving the Variational Inequality Problem over the Triple Hierarchical Problem [PDF]
Abstract and Applied Analysis, 2012 This paper discusses the monotone variational inequality over the solution set of the variational inequality problem and the fixed point set of a nonexpansive mapping.
Thanyarat Jitpeera, Poom Kumam
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Pseudomonotone variational inequality problems: Existence of solutions
Mathematical Programming, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Crouzeix, Jean-Pierre
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A New Variational Inequality with its Application [PDF]
, 2009 In this paper, we suggest the iterative algorithm for a variational inequality by using the auxiliary principle technique, which is closely related to the optimal boundary control of time-varying population system with age-dependence and spatial ...
Shi, Chao-Feng
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A New Iterative Method for Solving General Mixed Variational Inequalities [PDF]
, 2008 The general mixed variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method cannot be applied to solve this problem due to the presence of the nonlinear term. To
Shi, Chaofeng
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