Results 41 to 50 of about 163,604 (235)
Variational Inequalities for the Fractional Laplacian [PDF]
Potential Analysis, 2016 19 ...
MUSINA, Roberta +2 more
openaire +4 more sources
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
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.
openaire +4 more sources
Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces
Journal of Applied Mathematics, 2014 We consider the variational inequality problem for a family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space.
Yasunori Kimura, Kazuhide Nakajo
doaj +1 more source
Variational inequality for a vector field on Hadamard spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Our purpose is to study the variational inequality problem for a vector field on Hadamard spaces. The existence and uniqueness of the solutions to the variational inequality problem associated with a vector field in Hadamard spaces are studied.
Ranjbar Sajad
doaj +1 more source
Journal of Inequalities and Applications, 2018 The stability for a class of generalized Minty variational-hemivariational inequalities has been considered in reflexive Banach spaces. We demonstrate the equivalent characterizations of the generalized Minty variational-hemivariational inequality.
Lu-Chuan Ceng +3 more
doaj +1 more source
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.
openaire +2 more sources
Integral Inequalities and their Applications to the Calculus of Variations on Time Scales [PDF]
Math. Inequal. Appl. 13 (2010), no. 3, 511-522, 2010 We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.
arxiv +1 more source