Results 81 to 90 of about 4,400,793 (233)

Existence of Solutions and Convergence of a Multistep Iterative Algorithm for a System of Variational Inclusions with (H,η)-Accretive Operators

Fixed Point Theory and Applications, 2007
We introduce and study a new system of variational inclusions with (H,η)-accretive operators, which contains variational inequalities, variational inclusions, systems of variational inequalities, and systems of variational inclusions in the ...
Jian-Wen Peng, Xiao-Ping Zheng, Dao-Li Zhu   +2 more
doaj   +1 more source

Nonlinear Split Ordered Variational Inequality Problems [PDF]

arXiv, 2017
The concept of nonlinear split ordered variational inequality problems on partially ordered vector spaces is a natural extension of linear split vector variational inequality problems on Banach spaces. The results about nonlinear split ordered variational inequality problems are immediately applied to solving nonlinear split vector optimization ...
arxiv  

Mixed variational inequalities

Applied Mathematics Letters, 1990
AbstractIn this paper, we use the fixed-point technique to prove the existence of a unique solution of a new unified and general class of variational inequalities. Several special cases are also discussed.
openaire   +2 more sources

Auxiliary principle for generalized nonlinear variational-like inequalities

International 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, Haiyan Gao, Shin Min Kang, Soo Hak Shim   +3 more
doaj   +1 more source

Variational Inequalities on Geodesic Spaces [PDF]

arXiv, 2019
In this paper, we introduce a new variational inequality problem(VIP) associated with nonself multivalued nonexpansive mappings in $CAT(0)$ spaces.
arxiv  

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

Journal 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, Kang Shin Min, Liu Zeqing   +2 more
doaj  

Variational inequalities

, 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

Variational inequalities, coincidence theory, and minimax inequalities

Applied Mathematics Letters, 2001
New fixed-point theorems in Frechet spaces are used to establish new variational inequalities, coincidence results, analytic alternatives, and minimax inequalities.
Agarwal, R.P., O'Regan, D.
openaire   +3 more sources

The system of generalized set-valued equilibrium problems

Journal 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  

Existence of solutions of inverted variational inequalities [PDF]

Carpathian Journal of Mathematics, Vol. 28, No. 2, pp. 271-278 (2012), 2013
In this paper we introduce two new generalized variational inequalities, and we give some existence results of the solutions for these variational inequalities involving operators belonging to a recently introduced class of operators. We show by examples, that our results fail outside of this class.
arxiv