Results 31 to 40 of about 108,481 (312)
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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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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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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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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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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On Random Variational Inequalities
Journal of Mathematical Analysis and Applications, 1997 Let \((H,(.,.))\) be a real separable Hilbert space with the Borel \(\sigma\)-algebra \({\mathcal B}(H).\) Let \((\Omega,{\mathcal X})\) be a measurable space. A mapping \(T:\;\Omega\times H\to H\) is called a random operator, if for any given \(x\in H,\;T(t,x)=y(t)\) is measurable.
Kamal Wadhwa, Ashok Ganguly
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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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Homogenization of some degenerate pseudoparabolic variational inequalities
, 2018 Multiscale analysis of a degenerate pseudoparabolic variational inequality, modelling the two-phase flow with dynamical capillary pressure in a perforated domain, is the main topic of this work.
Ptashnyk, Mariya
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