Approximation Results for Equilibrium Problems Involving Strongly Pseudomonotone Bifunction in Real Hilbert Spaces [PDF]
A plethora of applications in non-linear analysis, including minimax problems, mathematical programming, the fixed-point problems, saddle-point problems, penalization and complementary problems, may be framed as a problem of equilibrium.
Wiyada Kumam, Kanikar Muangchoo
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Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization [PDF]
AbstractIn this paper we investigate quasi equilibrium problems in a real Banach space under the assumption of Brezis pseudomonotonicity of the function involved. To establish existence results under weak coercivity conditions we replace the quasi equilibrium problem with a sequence of penalized usual equilibrium problems.
Monica Bianchi, G. Kassay, R. Pini
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Approximation Results for Variational Inequalities Involving Pseudomonotone Bifunction in Real Hilbert Spaces [PDF]
In this paper, we introduce two novel extragradient-like methods to solve variational inequalities in a real Hilbert space. The variational inequality problem is a general mathematical problem in the sense that it unifies several mathematical models, such as optimization problems, Nash equilibrium models, fixed point problems, and saddle point problems.
Kanikar Muangchoo +2 more
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Correction to: Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization [PDF]
A Correction to this paper has been published: 10.1007/s10898-021-01088 ...
Monica Bianchi, G. Kassay, R. Pini
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A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results. [PDF]
International audienceAttitude is a key concept in social psychology. The paper presents a novel agent-based model to simulate attitude formation by combining a rational and an emotional components based on cognitive, psychological and social theories ...
Preechasilp P, Wangkeeree R.
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A projected subgradient-proximal method for split equality equilibrium problems of pseudomonotone bifunctions in Banach spaces [PDF]
Summary: In this paper, we propose a simultaneous projected subgradient-proximal type iterative algorithm to solve a split equality equilibrium problem with pseudomonotone bifunctions in 2-uniformly convex and uniformly smooth Banach spaces. We obtain convergence results under some mild conditions on the bifunctions.
Ferdinard U. Ogbuisi +72 more
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A General Inertial Projection-Type Algorithm for Solving Equilibrium Problem in Hilbert Spaces with Applications in Fixed-Point Problems [PDF]
A plethora of applications from mathematical programming, such as minimax, and mathematical programming, penalization, fixed point to mention a few can be framed as equilibrium problems.
Nopparat Wairojjana +3 more
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The aim of this article is to introduce a new algorithm by integrating a viscosity-type method with the subgradient extragradient algorithm to solve the equilibrium problems involving pseudomonotone and Lipschitz-type continuous bifunction in a real ...
Habib ur Rehman +2 more
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Equilibrium problems are articulated in a variety of mathematical computing applications, including minimax and numerical programming, saddle-point problems, fixed-point problems, and variational inequalities.
Habib ur Rehman +2 more
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In this paper, we introduce a new algorithm by incorporating an inertial term with a subgradient extragradient algorithm to solve the equilibrium problems involving a pseudomonotone and Lipschitz-type continuous bifunction in real Hilbert spaces.
Habib ur Rehman +3 more
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