Results 1 to 10 of about 108,481 (312)
Journal of Inequalities and Applications, 2018 The stability for a class of generalized Minty variational-hemivariational inequalities has been considered in reflexive Banach spaces. We demonstrate the equivalent characterizations of the generalized Minty variational-hemivariational inequality.
Lu-Chuan Ceng +3 more
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Variational representations related to Tsallis relative entropy
, 2019 We develop variational representations for the deformed logarithmic and exponential functions and use them to obtain variational representations related to the quantum Tsallis relative entropy.
Hansen, Frank, Shi, Guanghua
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Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities
Journal of Applied Mathematics, 2012 We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality.
Muhammad Aslam Noor +2 more
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On the General Variational Inequality
Journal of Mathematical Analysis and Applications, 1993 Given \(f,g: R^ n\to R^ n\) nonlinear mappings and \(K\), a closed convex set in \(R^ n\), the author considers the problem of finding \(u\in K\) such that (1) \(\langle f(u), g(v)- g(u)\rangle\geq 0\) for all \(v\in K\), which is known as a general variational inequality problem, being a special case of the problem as formulated by the reviewer [Appl.
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Differential variational inequalities [PDF]
Mathematical Programming, 2007 This paper introduces and studies the class of differential variational inequalities (DVIs) in a finite-dimensional Euclidean space. The DVI provides a powerful modeling paradigm for many applied problems in which dynamics, inequalities, and discontinuities are present; examples of such problems include constrained time-dependent physical systems with ...
Jong-Shi Pang, David E. Stewart
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A New System of Multivalued Mixed Variational Inequality Problem
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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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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A Unifying Variational Perspective on Some Fundamental Information Theoretic Inequalities [PDF]
, 2016 This paper proposes a unifying variational approach for proving and extending some fundamental information theoretic inequalities. Fundamental information theory results such as maximization of differential entropy, minimization of Fisher information ...
Park, Sangwoo +2 more
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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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On a class of variational inequalities
Journal of Mathematical Analysis and Applications, 1987 A new class of variational inequalities of the form \[ a(u,v-u)+b(u,v)- b(u,u)\geq (A(u),v-u)),\quad v\in M, \] is considered where \(M\subset H\) is a convex nonempty subset of a Hilbert space H, a(u,v) is a coercive and continuous bilinear form on H, b(u,v) is bounded and linear in the first variable, convex or linear in the second one and \(A: H\to ...
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