Results 21 to 30 of about 8,898 (310)
Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities
Abstract and Applied Analysis, 2013 We consider a triple hierarchical variational inequality problem (THVIP), that is, a variational inequality problem defined over the set of solutions of another variational inequality problem which is defined over the intersection of the fixed point set ...
Zhao-Rong Kong +3 more
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On Bilevel Variational Inequalities [PDF]
Journal of the Operations Research Society of China, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wan, Zhongping, Chen, Jia-Wei
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Mathematics, 2019 In the present work, we introduce a hybrid Mann viscosity-like implicit iteration to find solutions of a monotone classical variational inequality with a variational inequality constraint over the common solution set of a general system of variational ...
Lu-Chuan Ceng, Qing Yuan
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Variational-like inequalities for n-dimensional fuzzy-vector-valued functions and fuzzy optimization
Open Mathematics, 2019 The existing results on the variational inequality problems for fuzzy mappings and their applications were based on Zadeh’s decomposition theorem and were formally characterized by the precise sets which are the fuzzy mappings’ cut sets directly. That is,
Xie Ting, Gong Zengtai
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Mathematics, 2019 This paper discusses a monotone variational inequality problem with a variational inequality constraint over the common solution set of a general system of variational inequalities (GSVI) and a common fixed point (CFP) of a countable family of ...
Lu-Chuan Ceng, Xiaoye Yang
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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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Some New Classes of Extended General Mixed Quasi-Variational Inequalities
Abstract and Applied Analysis, 2012 We consider and study a new class of variational inequality, which is called the extended general mixed quas-variational inequality. We use the auxiliary principle technique to study the existence of a solution of the extended general mixed quasi ...
Muhammad Aslam Noor, Khalida Inayat Noor
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Sensitivity Analysis for Variational Inequalities [PDF]
Mathematics of Operations Research, 1992 In this paper we study the behavior of the local solutions of perturbed variational inequalities, governed by perturbations to both the variational inequality function and the feasible region. Assuming appropriate second-order and regularity conditions, we show that the perturbed local solution set is Lipschitz continuous and directionally ...
Yuping Qiu, Thomas L. Magnanti
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A New Gap Function for Vector Variational Inequalities with an Application
Journal of Applied Mathematics, 2013 We consider a vector variational inequality in a finite-dimensional space. A new gap function is proposed, and an equivalent optimization problem for the vector variational inequality is also provided.
Hui-qiang Ma +3 more
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MathematicsThe inverse mixed variational inequality problem comes from classical variational inequality, and it has many applications. In this paper, we propose new algorithms to study the inverse mixed variational inequality problems in Hilbert spaces, and these ...
Chih-Sheng Chuang
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