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Variational Inequality Problems in H-Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 The concept of certain invex functions is introduced and applied in topological vector spaces and H-spaces to explore the properties of variational inequality and complementarity problems.
Das, P K
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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.
Baoqing Liu, Congjun Zhang, Jun Wei
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On the Generalized Quasi-variational Inequality Problems
Journal of Mathematical Analysis and Applications, 1996 The purpose of this paper is to study the existence problem of solutions for some kinds of abstract generalized quasi-variational inequality problems by using a new kind of fixed point ...
Wu, Xian +4 more
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Singularities in a variational problem with an inequality [PDF]
Pacific Journal of Mathematics, 1966 Abstract : The variational problem of Lagrange is considered with an inequality in the form (a) phi (x,y) >0 or (b) phi (x,y,y) >0, which is of frequent occurrence in applications of the calculus of variations to Control Theory and Optimization Techniques.
Garfinkel, Boris, McAllister, Gregory T.
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Algorithms for the Split Variational Inequality Problem [PDF]
Numerical Algorithms, 2011 We propose a prototypical Split Inverse Problem (SIP) and a new variational problem, called the Split Variational Inequality Problem (SVIP), which is a SIP. It entails finding a solution of one inverse problem (e.g., a Variational Inequality Problem (VIP)), the image of which under a given bounded linear transformation is a solution of another inverse ...
Yair Censor, Aviv Gibali, Simeon Reich
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A QUASI-VARIATIONAL INEQUALITY PROBLEM IN SUPERCONDUCTIVITY [PDF]
Mathematical Models and Methods in Applied Sciences, 2010 We derive a class of analytical solutions and a dual formulation of a scalar two-space-dimensional quasi-variational inequality problem in applied superconductivity. We approximate this formulation by a fully practical finite element method based on the lowest order Raviart–Thomas element, which yields approximations to both the primal and dual ...
Barrett, JW, Prigozhin, L
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On the convergence of adaptive nonconforming finite element methods for a class of convex variational problems [PDF]
, 2011 We formulate and analyze an adaptive nonconforming finite element method for the solution of convex variational problems. The class of minimization problems we admit includes highly singular problems for which no Euler–Lagrange equation (or inequality ...
Christoph Ortner +3 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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, 2023 We prove strong stationarity conditions for optimal control problems that are governed by a prototypical rate-independent evolution variational inequality, i.e., first-order necessary optimality conditions in the form of a primal-dual multiplier system ...
Christof, Constantin +3 more
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Limit vector variational inequality problems via scalarization [PDF]
, 2018 We solve a general vector variational inequality problem in a finite—dimensional setting, where only approximation sequences are known instead of exact values of the cost mapping and feasible set.
Bianchi Monica +4 more
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