Results 21 to 30 of about 4,524,029 (359)
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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On Nonlinear Variational Inequalities [PDF]
Proceedings of the American Mathematical Society, 1977 In this note we have given a direct proof of the result which states that if K is a compact convex subset of a linear Hausdorff topological space E over the reals and T is a monotone and hemicontinuous (nonlinear) mapping of K into E ∗ {E^ \ast } , then there is a ...
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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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Fixed Point Theory, 2019 In this paper, we consider the problem of solving a general system of variational inequalities (GSVI) with a hierarchical variational inequality (HVI) constraint for countably many uniformly Lipschitzian pseudocontractive mappings and an accretive ...
L. Ceng +3 more
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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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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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, 2020 We are concerned with the mathematical modeling of the polarization process in ferroelectric media. We assume that this dissipative process is governed by two constitutive functions, which are the free energy function and the dissipation function.
Humer, Alexander +2 more
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A Minty variational principle for set optimization [PDF]
, 2014 Extremal problems are studied involving an objective function with values in (order) complete lattices of sets generated by so called set relations.
Crespi, Giovanni P. +2 more
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