Results 31 to 40 of about 4,361,901 (334)
Fixed Point Theory and Applications, 2008 We introduce and study a new class of general nonlinear implicit variational inequalities, which includes several classes of variational inequalities and variational inclusions as special cases.
Jeong Sheok Ume +2 more
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Existence of Solutions for η-Generalized Vector Variational-Like Inequalities
Journal of Inequalities and Applications, 2010 We introduce and study a class of η-generalized vector variational-like inequalities and a class of η-generalized strong vector variational-like inequalities in the setting of Hausdorff topological vector spaces.
Xi Li, Jong Kyu Kim, Nan-Jing Huang
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On a Class of Generalized Variational Inequalities and Quasi-Variational Inequalities
Journal of Mathematical Analysis and Applications, 1993 Il s'agit d'étudier le problème de l'existence de solutions pour une classe d'inégalités variationnelles généralisées et quasi- variationelles en hypothèses faibles. De cette manière les auteurs atteindent des résultats, qui étendent les résultats de \textit{F. E. Browder} [Math. Ann. 177,283-301 (1968; Zbl 0176.452)] et de \textit{P.
Cong-Jun Zhang, S. S. Chang
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Deep Neural Network Structures Solving Variational Inequalities [PDF]
Set-Valued and Variational Analysis, 2018 Motivated by structures that appear in deep neural networks, we investigate nonlinear composite models alternating proximity and affine operators defined on different spaces. We first show that a wide range of activation operators used in neural networks
P. Combettes, J. Pesquet
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On the Generalized Nonlinear Variational Inequalities and Quasi-Variational Inequalities
Journal of Mathematical Analysis and Applications, 1996 The paper deals with two kinds of variational inequality problems: 1. (Generalized nonlinear variational inequality problem -- GNVI\((T,g,b,X)\)) Find \(\widehat x\in X\) and \(\widehat w\in T\widehat x\) such that \[ \text{Re}\langle\widehat w,g(\widehat x) -g(y)\rangle+ b(\widehat x,\widehat x)- b(\widehat x,y)\geq 0\;\forall y\in X; \] 2 ...
Su-Jane Yu, Jen-Chih Yao
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On the embedding of variational inequalities [PDF]
Proceedings of the American Mathematical Society, 2003 This work is devoted to the approximation of variational inequalities with pseudo-monotone operators. A variational inequality, considered in an arbitrary real Banach space, is first embedded into a reflexive Banach space by means of linear continuous mappings.
B. Djafari. Rouhani, Akhtar A. Khan
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Extragradient Method with Variance Reduction for Stochastic Variational Inequalities [PDF]
SIAM Journal on Optimization, 2017 We propose an extragradient method with stepsizes bounded away from zero for stochastic variational inequalities requiring only pseudomonotonicity.
A. Iusem +3 more
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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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Vector Optimization Problems and Generalized Vector Variational-Like Inequalities [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, some properties of pseudoinvex functions, defined by means of limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality, the Stampacchia vector variational-like inequality, and the weak ...
Ildar Sadeqi, Somayeh Nadi
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Parametric Extended General Mixed Variational Inequalities
Journal of Applied Mathematics, 2012 It is well known that the resolvent equations are equivalent to the extended general mixed variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the extended general mixed variational inequalities without ...
Muhammad Aslam Noor
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