Results 31 to 40 of about 4,400,793 (233)
Differential variational inequalities [PDF]
Mathematical Programming, 2007 This paper introduces and studies the class of differential variational inequalities (DVIs) in a finite-dimensional Euclidean space. The DVI provides a powerful modeling paradigm for many applied problems in which dynamics, inequalities, and discontinuities are present; examples of such problems include constrained time-dependent physical systems with ...
Jong-Shi Pang, David E. Stewart
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Journal of Optimization Theory and Applications, 2018 In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the extragradient method for solving pseudo-monotone variational inequalities converges weakly to a solution. A class of pseudo-monotone variational inequalities is
P. Vuong
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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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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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Non-Archimedean Koksma inequalities, variation, and Fourier analysis [PDF]
arXiv, 2022 We examine four different notions of variation for real-valued functions defined on the compact ring of integers of a non-Archimedean local field, with an emphasis on regularity properties of functions with finite variation, and on establishing non-Archimedean Koksma inequalities.
arxiv
An Iterative Algorithm for Solving Generalized Variational Inequalities and Fixed Points Problems
Mathematics, 2019 In this paper, a generalized variational inequality and fixed points problem is presented. An iterative algorithm is introduced for finding a solution of the generalized variational inequalities and fixed point of two quasi-pseudocontractive operators ...
Yonghong Yao +2 more
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Applied Mathematics Letters, 1992 AbstractIn this paper, we derive some existence results for the variational inequality in Banach space. Theorem 2.1 of this paper seems to be a natural extension of the celebrated result of Hartman and Stampacchia [1, Lemma 3.1] in infinite dimensional spaces. An application to the fixed point theory is given.
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Gap functions for quasi-variational inequalities via duality
Journal of Inequalities and Applications, 2018 This paper deals with an application of duality theory in optimization to the construction of gap functions for quasi-variational inequalities. The same approach was investigated for variational inequalities and equilibrium problems in (Pac. J. Optim.
L Altangerel
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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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Outer approximation methods for solving variational inequalities in Hilbert space [PDF]
, 2017 In this paper, we study variational inequalities in a real Hilbert space, which are governed by a strongly monotone and Lipschitz continuous operator F over a closed and convex set C.
A. Gibali, S. Reich, Rafał Zalas
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