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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Reinforcement problems for variational inequalities on fractal sets [PDF]
, 2015 The aim of this paper is to study reinforcement problems for variational inequalities of the obstacle type on fractal ...
Capitanelli, Raffaela +1 more
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Inverse problems for nonlinear quasi-variational inequalities with an application to implicit obstacle problems of p -Laplacian type [PDF]
Inverse Problems, 2019 The primary objective of this research is to investigate an inverse problem of parameter identification in nonlinear mixed quasi-variational inequalities posed in a Banach space setting.
S. Migórski +2 more
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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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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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System of Generalized Implicit Vector Quasivariational Inequalities
Journal of Inequalities and Applications, 2008 We will introduce a system of generalized implicit vector quasivariational inequalities (in short, SGIVQVI) which generalizes and unifies the system of generalized implicit variational inequalities, the system of generalized vector quasivariational-like ...
Xiao-Ping Zheng, Jian-Wen Peng
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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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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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A novel iterative approach for resolving generalized variational inequalities
AIMS Mathematics, 2023 For figuring out general variational inequalities, we propose a novel and innovative iterative method. First, we demonstrate that the fixed point formulation and general vaiational inequality are equivalent.
Muhammad Bux +3 more
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