Results 101 to 110 of about 474,284 (161)

Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems

Abstract and Applied Analysis, 2016
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators.
Teffera M. Asfaw
doaj   +1 more source

Multivalued dynamics of solutions of an autonomous differential-operator inclusion with a pseudomonotone nonlinearity

, 2011
Системный анализРозглянуто нелінійне автономне диференціально-операторне включення із псевдомонотонною залежністю між визначаючими параметрами задачі. Вивчено динаміку всіх слабких розв’язків, визначених на додатній півосі часу.
Касьянов, П.О.
core  

ON INEXACT TIKHONOV AND PROXIMAL POINT REGULARISATION METHODS FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS

, 2012
We investigate the inexact Tikhonov and proximal point regularisation methods for pseudomonotone equilibrium problems. In this ease, the regularised sub-problems may be not strongly monotone, even not pseudomonotone.
Hưng, Phạm Gia, Mưu, Lê Dũng
core   +1 more source

Uniqueness results for pseudomonotone problems with p > 2 [PDF]

, 2007
We consider a pseudomonotone operator, the model of which is -div(b(x, u)vertical bar del u vertical bar(p-2)del u) with 1 < p < + infinity and b(x, s) a Lipschitz continuous function in s which hold satisfies 0 < alpha
Juan Casado-Díaz, Casado Diaz, J., François Murat, Porretta, A, Casado Díaz, Juan, Murat, François, Casado-Diaz, J, PORRETTA, ALESSIO, Murat, F., Casado-Díaz, Juan, Alessio Porretta, Murat, F   +11 more
core   +1 more source

Evolution inequalities with noncoercive wλ₀-pseudomonotone volterra-type mappings

, 2008
Рассмотрен класс дифференциально-операторных неравенств с некоэрцитивными операторами wλ₀ -псевдомонотонного типа. С помощью метода Ю. А. Дубинского исследована проблема существования решения задачи Коши для данных неравенств.
Мельник, В.С., Касьянов, П.О.   +1 more
core  

THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS

, 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 ...
Hưng, Phạm Gia, Mưu, Lê Dũng
core   +1 more source

A Subgradient Extragradient Framework Incorporating a Relaxation and Dual Inertial Technique for Variational Inequalities

Mathematics
This paper presents an enhanced algorithm designed to solve variational inequality problems that involve a pseudomonotone and Lipschitz continuous operator in real Hilbert spaces.
Habib ur Rehman, Kanokwan Sitthithakerngkiet, Thidaporn Seangwattana   +2 more
doaj   +1 more source

Approximate Proximal Algorithms for Generalized Variational Inequalities with Pseudomonotone Multifunctions

, 2007
In this paper, we establish several strong convergence results of general approximate proximal algorithm and general Bregman-function-based approximate proximal algorithm for solving the generalized variational inequality problem with pseudomonotone ...
Hsiao, Cheng-chih, L.C. Ceng, J.C. Yao
core   +1 more source

Variational inequalities and pseudomonotone functions

, 1998
The paper provides some characterizations of (strictly) pseudomonotone and (strictly) monotone functions by properties of the solutions to the associated variational inequality problems.
Reinhard John
core  

Research on a Class of Set-Valued Vector Equilibrium Problems and a Class of Mixed Variational Problems

Mathematics
This paper investigates the structural properties of solutions of vector equilibrium systems and mixed variational inequalities in topological vector spaces.
Wei Cheng, Weiqiang Gong
doaj   +1 more source