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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 ...
Aviv Gibali +2 more
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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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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 ...
Guoqiang Tian
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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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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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Journal of Mathematics, 2022 A mixed variational inequality problem involving generalized Yosida approximation operator is considered and studied in q-uniformly smooth Banach space.
Arvind Kumar Rajpoot +3 more
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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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Variational inequality problems in H‐spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 The concept of η‐invex set is explored and the concept of T‐η‐invex function is introduced. These concepts are applied to the generalized vector variational inequality problems in ordered topological vector spaces. The study of variational inequality problems is extended to H‐spaces and differentiable n‐manifolds.
Akrur Behera, Prasanta Kumar Das
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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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Variational inequality for a vector field on Hadamard spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Our purpose is to study the variational inequality problem for a vector field on Hadamard spaces. The existence and uniqueness of the solutions to the variational inequality problem associated with a vector field in Hadamard spaces are studied.
Ranjbar Sajad
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