Results 11 to 20 of about 1,949 (160)
Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we consider the algorithm proposed in recent years by Censor, Gibali and Reich, which solves split variational inequality problem, and Korpelevich’s extragradient method, which solves variational inequality problems. As our main result, we
Ming Tian, Bing-Nan Jiang
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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.
Akrur Behera, Prasanta Kumar Das
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An Extragradient Method for Fixed Point Problems and Variational Inequality Problems
Journal of Inequalities and Applications, 2007 We present an extragradient method for fixed point problems and variational inequality problems. Using this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality
Yonghong Yao +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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Local Sharp Vector Variational Type Inequality and Optimization Problems
Mathematics, 2020 In this paper, our goal was to establish the relationship between solutions of local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, also Minty local sharp vector variational type inequality and ...
Jong Kyu Kim, Salahuddin
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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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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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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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Gap functions and error bounds for random generalized variational inequality problems
Journal of Inequalities and Applications, 2016 This paper is devoted to the study of gap functions of random generalized variational inequality problems in a fuzzy environment. Further by using the residual vector we compute error bounds for random generalized variational inequality problems and we ...
Suhel Ahmad Khan +2 more
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