Results 41 to 50 of about 4,400,793 (233)
On Random Variational Inequalities
Journal of Mathematical Analysis and Applications, 1997 AbstractIn this paper, we consider a random variational inequality. An existence theorem for a unique solution of a random variational inequality is proved, which includes the results of Noor, Lions, and Stampacchia. Several special cases, which can be obtained from our results, are also discussed.
Kamal Wadhwa, Ashok Ganguly
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Variational Inequalities for the Fractional Laplacian [PDF]
Potential Analysis, 2016 19 ...
MUSINA, Roberta +2 more
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A minimax approach for inverse variational inequalities [PDF]
, 2020 In this work, we characterize the existence of solution for a certain variational inequality by means of a classical minimax theorem. In addition, we propose a numerical algorithm for the solution of an inverse problem associated with a variational inequality. To this end we state a collage-type result in this variational framework.
arxiv +1 more source
Local Error Bounds for Affine Variational Inequalities on Hilbert Spaces [PDF]
arXiv, 2023 This paper gives some results related to the research problem about infinite-dimensional affine variational inequalities raised by N.D. Yen and X. Yang [Affine variational inequalities on normed spaces, J. Optim. Theory Appl., 178 (2018), 36--55]. Namely, we obtain local error bounds for affine variational inequalities on Hilbert spaces.
arxiv
A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem
Journal of Function Spaces, 2022 Variational inequalities are considered the most significant field in applied mathematics and optimization because of their massive and vast applications.
Muhammad Bux +3 more
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Proximal extrapolated gradient methods for variational inequalities [PDF]
Optim. Methods Softw., 2016 The paper concerns with novel first-order methods for monotone variational inequalities. They use a very simple linesearch procedure that takes into account a local information of the operator. Also, the methods do not require Lipschitz continuity of the
Yura Malitsky
semanticscholar +1 more source
Adaptive Methods or Variational Inequalities with Relatively Smooth and Reletively Strongly Monotone Operators [PDF]
arXiv, 2023 The article is devoted to some adaptive methods for variational inequalities with relatively smooth and relatively strongly monotone operators. Starting from the recently proposed proximal variant of the extragradient method for this class of problems, we investigate in detail the method with adaptively selected parameter values.
arxiv
Variations on the theme of Marcinkiewicz’ inequality [PDF]
Journal d'Analyse Mathématique, 2002 We present a new approach to the Marcinkiewicz interpolation inequality for the distribution function of the Hilbert transform, and prove an "abstract" version of this inequality. The approach uses "logarithmic determinants" and new estimates of canonical products of genus one.
Matsaev, V., Ostrovskii, I., Sodin, M.
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A Study on Mixed Variational-like Inequality Under Generalized Quasimonotonicity in Banach Spaces
MathematicsThis paper studies nonlinear mixed variational-like inequalities under generalized quasimonotone mappings in Banach spaces. The main objective of this work is to relax the well-known KKM (Knaster–Kuratowski–Mazurkiewicz) condition which is extensively ...
Gayatri Pany +2 more
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On the General Variational Inequality
Journal of Mathematical Analysis and Applications, 1993 AbstractIn this paper, we investigate the general variational inequality which extends the classical variational inequality in finite dimensional spaces. Necessary and sufficient conditions for the existence of a solution of this problem are obtained. Some existence results are derived using the fixed point theory.
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