ON THE METHOD OF APPROXIMATION FOR EVOLUTIONARY INCLUSIONS OF PSEUDOMONOTONE TYPE [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractFor a large class of operator inclusions, including those generated by maps of pseudomonotone type, we obtain a general theorem on existence of solutions. We apply this result to some particular examples. This theorem is proved using the method of difference approximations.
Kasyanov, Pavlo +2 more
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Pseudomonotonicity of a Linear Map on the Interior of the Positive Orthant
, 2006 In this paper we will establish some necessary and/or sufficient conditions for both a nonsingular and a singular matrix A (interpreted as a linear map) to be pseudomonotone. The given results are in terms of the sign of the determinants of the principal
CAMBINI A. +3 more
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Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization
, 2021 In this paper we investigate quasi equilibrium problems in a real Banach space under the assumption of Brezis pseudomonotonicity of the function involved.
Bianchi M. +3 more
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A new extragradient algorithm for split equilibrium problems and fixed point problems
Journal of Inequalities and Applications, 2019 In this paper, we present a new extragradient algorithm for approximating a solution of the split equilibrium problems and split fixed point problems.
Narin Petrot +3 more
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Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem [PDF]
Advances in Nonlinear Analysis, 2019 Abstract The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.
Olivier Guibé +3 more
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Existence Results for Primal and Dual Generalized Vector Equilibrium Problems With Applications to Generalized Semi-Infinite Programming [PDF]
, 2011 [[abstract]]In this paper, we introduce several kinds of maximal pseudomonotonicity and establish existence theorems of maximal pseudomonotonicity. From these results we establish the existence theorems of generalized vector equilibrium problems.
L.J. Lin
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Equilibrium and least element problems for multivalued functions
, 2010 Least element problem, Equilibrium problem, Nonlinear problem, Pseudomonotonicity, Z-bifunction, Feasible set,
GNUDI A +5 more
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, 2023 The purpose of this paper is to investigate pseudomonotone variational inequalities in real Hilbert spaces. For solving this problem, we introduce a new method.
Dong Q.-L. +4 more
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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
Infinite player noncooperative games with vector payoffs under relative pseudomonotonicity
, 2020 In this paper we consider the Nash equilibrium problem for infinite player games with vector payoffs in a topological vector space setting. By employing new concepts of relative (pseudo)monotonicity, we establish several existence results of solutions ...
Gnudi A. +3 more
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