Results 71 to 80 of about 577 (170)

Stampacchia's property, self-duality and orthogonality relations

, 2010
We show that if the conclusion of the well known Stampacchia Theorem, on variational inequalities, holds on a Banach space X, then X is isomorphic to a Hilbert space.
Yannakakis, Nikos
core   +1 more source

A projective splitting algorithm for solving generalized mixed variational inequalities

Journal of Inequalities and Applications, 2011
In this paper, a projective splitting method for solving a class of generalized mixed variational inequalities is considered in Hilbert spaces. We investigate a general iterative algorithm, which consists of a splitting proximal point step followed by a ...
Zou Yun-zhi, Xia Fu-quan
doaj  

THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS

Tạp chí Khoa học Đại học Đà Lạt, 2012
We extend the Tikhonov regularisation method widely used in optimisation and variational inequalities to pseudomonotone equilibrium problems. In this case, the Tikhonov regularised sub-problems have a unique solution only in the limit, but any Tikhonov ...
Phạm Gia Hưng, Lê Dũng Mưu
doaj   +1 more source

Second-Order Optimality Conditions in Cone-Constrained Vector Optimization with Arbitrary Nondifferentiable Functions

, 2014
In this paper, we introduce a new second-order directional derivative and a second-order subdifferential of Hadamard type for an arbitrary nondifferentiable function.
Ivanov, Vsevolod I.
core   +1 more source

Mixed quasi invex equilibrium problems

International Journal of Mathematics and Mathematical Sciences, 2004
We introduce a new class of equilibrium problems, known as mixed quasi invex equilibrium (or equilibrium-like) problems. This class of invex equilibrium problems includes equilibrium problems, variational inequalities, and variational-like inequalities ...
Muhammad Aslam Noor
doaj   +1 more source

Periodic solutions for a class of evolution inclusions

, 2018
We consider a periodic evolution inclusion defined on an evolution triple of spaces. The inclusion involves also a subdifferential term. We prove existence theorems for both the convex and the nonconvex problem, and we also produce extremal trajectories.
Papageorgiou, Nikolaos S., Repovš, Dušan D., Rădulescu, Vicenţiu D.   +2 more
core   +2 more sources

Two Classes of Restart Algorithms for Solving Pseudomonotone Nonlinear Equations

Algorithms
In this study, we introduce two efficient derivative-free algorithms enhanced by a restart strategy to solve nonlinear pseudomonotone equations. We demonstrate that the algorithm’s search direction is both descent and bounded, and under the assumptions ...
Jitsupa Deepho, Auwal Bala Abubakar, Abdulkarim Hassan Ibrahim   +2 more
doaj   +1 more source

Convergence of Rothe scheme for hemivariational inequalities of parabolic type

, 2012
This article presents the convergence analysis of a sequence of piecewise constant and piecewise linear functions obtained by the Rothe method to the solution of the first order evolution partial differential inclusion $u'(t)+Au(t)+\iota^*\partial J ...
Kalita, Piotr
core  

A relationship between pseudomonotone and monotone mappings

Applied Mathematics Letters, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Pseudo-monotonicity and degenerate elliptic operators of second order

Electronic Journal of Differential Equations, 2002
Extending the theory of pseudo-monotone mappings in weighted Sobolev spaces, we prove some existence results for degenerate or singular elliptic equations generated by the second-order differential operator $$ Au(x)=-mathop{m div}a(x,u,abla u))+a_0(x,u ...
Youssef Akdim, Elhoussine Azroul
doaj