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
A von Neumann Alternating Method for Finding Common Solutions to Variational Inequalities [PDF]
, 2011 Modifying von Neumann's alternating projections algorithm, we obtain an alternating method for solving the recently introduced Common Solutions to Variational Inequalities Problem (CSVIP).
Censor, Yair +2 more
core +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
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
doaj +1 more source
Allen-Cahn and Cahn-Hilliard variational inequalities solved with Optimization Techniques [PDF]
, 2010 Parabolic variational inequalities of Allen-Cahn and Cahn- Hilliard type are solved using methods involving constrained optimization. Time discrete variants are formulated with the help of Lagrange multipliers for local and non-local equality and ...
Blank, Luise +4 more
core
Iterative Solutions for Solving Variational Inequalities and Fixed-Point Problems
Journal of Function Spaces, 2021 In this paper, we are interested in variational inequalities and fixed-point problems in Hilbert spaces. We present an iterative algorithm for finding a solution of the studied variational inequalities and fixed-point problems.
Li-Jun Zhu, Naseer Shahzad, Asim Asiri
doaj +1 more source
On nonlinear variational inequalities [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 The fixed point technique is used to prove the existence of a solution for a class of nonlinear variational inequalities related with odd order constrained boundary value problems and to suggest an iterative algorithm to compute the approximate solution.
openaire +2 more sources
New Perturbed Proximal Point Algorithms for Set-valued Quasi Variational Inclusions [PDF]
, 2004 In this paper, by using some new and innovative techniques, some perturbed iterative algorithms for solving generalized set-valued variational inclusions are suggested and analyzed.
Li, Rong, Shi, Chaofeng
core
On Gap Functions for Quasi-Variational Inequalities
Abstract and Applied Analysis, 2008 For variational inequalities, various merit functions, such as the gap function, the regularized gap function, the D-gap function and so on, have been proposed.
Kouichi Taji
doaj +1 more source
System of Extended General Variational Inequalities for Relaxed Cocoercive Mappings in Hilbert Space
Mathematics, 2018 In this manuscript, we study a system of extended general variational inequalities (SEGVI) with several nonlinear operators, more precisely, six relaxed ( α , r ) -cocoercive mappings.
Kyung Soo Kim
doaj +1 more source