Results 51 to 60 of about 4,460,427 (238)

Auxiliary principle for generalized nonlinear variational-like inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
We introduce and study a new class of generalized nonlinear variational-like inequalities and prove an existence theorem of solutions for this kind of generalized nonlinear variational-like inequalities.
Zeqing Liu   +3 more
doaj   +1 more source

On Random Variational Inequalities

open access: yesJournal of Mathematical Analysis and Applications, 1997
Let \((H,(.,.))\) be a real separable Hilbert space with the Borel \(\sigma\)-algebra \({\mathcal B}(H).\) Let \((\Omega,{\mathcal X})\) be a measurable space. A mapping \(T:\;\Omega\times H\to H\) is called a random operator, if for any given \(x\in H,\;T(t,x)=y(t)\) is measurable.
Ganguly, Ashok, Wadhwa, Kamal
openaire   +1 more source

Applications of W. A. Kirk's fixed-point theorem to generalized nonlinear variational-like inequalities in reflexive Banach spaces

open access: yesJournal of Inequalities and Applications, 2005
We introduce and study a new class of generalized nonlinear variational-like inequalities, which includes these variational inequalities and variational-like inequalities due to Bose, Cubiotti, Dien, Ding, Ding and Tarafdar, Noor, Parida, Sahoo, and ...
Ume Jeong Sheok   +2 more
doaj  

Variational inequalities

open access: yes, 2015
If $- \infty < < < \infty $ and $f \in C^{3} \left( [ , ] \times {\bf R}^{2} , {\bf R} \right) $ is bounded, while $y \in C^{2} \left( [ , ] , {\bf R} \right) $ solves the typical one-dimensional problem of the calculus of variations to minimize the function $$F \left( y \right) = \int_{ }^{ }f \left( x, y(x), y'(x) \right) dx,$
openaire   +2 more sources

The system of generalized set-valued equilibrium problems

open access: yesJournal of Inequalities and Applications, 2006
We introduce new and interesting model of system of generalized set-valued equilibrium problems which generalizes and unifies the system of set-valued equilibrium problems, the system of generalized implicit vector variational inequalities, the system ...
Peng Jian-Wen
doaj  

Generalized quasi-variational hemi-variational inequalities

open access: yesApplied Mathematics Letters, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

The Tikhonov Regularization Method for Set-Valued Variational Inequalities

open access: yesAbstract and Applied Analysis, 2012
This paper aims to establish the Tikhonov regularization theory for set-valued variational inequalities. For this purpose, we firstly prove a very general existence result for set-valued variational inequalities, provided that the mapping involved has ...
Yiran He
doaj   +1 more source

A Class of Generalized Evolutionary Problems Driven by Variational Inequalities and Fractional Operators

open access: yesSet-Valued and Variational Analysis, 2018
This paper is devoted to a generalized evolution system called fractional partial differential variational inequality which consists of a mixed quasi-variational inequality combined with a fractional partial differential equation in a Banach space ...
S. Migórski, Shengda Zeng
semanticscholar   +1 more source

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