Results 71 to 80 of about 1,027 (114)

A Range and Existence Theorem for Pseudomonotone Perturbations of Maximal Monotone Operators [PDF]

, 2011
In this paper, we prove a range and existence theorem for multivalued pseudomonotone perturbations of maximal monotone operators. We assume a general coercivity condition on the sum of a maximal monotone and a pseudomonotone operator instead of a ...
Vy Khoi Le, Le, Vy Khoi
core   +1 more source

A golden ratio technique for equilibrium problem in reflexive Banach spaces

Demonstratio Mathematica
In this article, we present a self-adaptive subgradient extragradient method for approximating solutions of equilibrium problems with pseudomonotone and Lipschitz type bifunctions in the context of reflexive Banach spaces.
Abass Hammed A., Adamu Abubakar, Oyewole Olawale K., Aphane Maggie   +3 more
doaj   +1 more source

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

Comparison of Two Kinds of Modified PredictionCorrection Methods for Pseudomonotone Variational Inequalities [PDF]

, 2018
In this paper, we propose the modified prediction-correction methods for solving pseudomonotone variational inequalities problems. The proposed methods can be viewed as an extension of the method of He et al. [11, B.S. He and X.M. Yuan, Comparison of two
Ali P. Farajzadeh, Somyot Plubtieng, Plubtieng, Somyot, Kan Buranakorn, Buranakorn, Kan, P. Farajzadeh, Ali   +5 more
core   +1 more source

On pseudomonotone elliptic operators with functional dependence on unbounded domains [PDF]

, 2016
We generalize F. E. Browder's results concerning pseudomonotone elliptic partial differential operators defined on unbounded domains. We show that under suitable assumptions, Browder's result holds true if the coefficient functions are functionals of ...
Mihály Csirik, Csirik, Mihály, Csirik Mihály   +2 more
core   +2 more sources

Multivalued Variational Inequalities with -Pseudomonotone Mappings in Reflexive Banach Spaces [PDF]

, 2013
This paper is concerned with the study of a class of variational inequalities with multivalued -pseudomonotone mappings in reflexive Banach spaces by using the -antiresolvent technique. An application to the multivalued nonlinear -complementarity problem
S. A. Ahmed, A. M. Saddeek
core   +1 more source

Pseudomonotone variational inequality problems : Existence of solutions

, 1997
Necessary and sufficient conditions for the set of solutions of a pseudomonotone variational inequality problem to be nonempty and compact are given.
Crouzeix, Jean-Pierre
core   +1 more source

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

Quasimonotone versus pseudomonotone

, 1996
Under some natural hypotheses, we show that if the (Nemitsky-) operator associated with an elliptic system is pseudomonotone, then the system has to be quasimonotone.
Rüdiger Landes
core   +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