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On Gap Functions for Quasi-Equilibrium Problems Via Duality
We extend gap functions to quasi-equilibrium problems by using the duality results. In particular, we obtain new results for quasi-equilibrium...
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Finite Convergence and Sharp Minima for Quasi-Equilibrium Problems
The notion of sharp minima, given by Polyak, is an important tool in studying the convergence analysis of algorithms designed to solve optimization...
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Equilibrium problems on quasi-weighted graphs
We give a new minimization theorem for equilibrium problems on a quasi-weighted graph. This result generalizes the graphical version of the Ekeland’s...
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Extragradient method with Bregman distances for solving vector quasi-equilibrium problems
We study the extragradient method for solving vector quasi-equilibrium problems in Banach spaces, which generalizes the extragradient method for...
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On Vector Quasi-Equilibrium Problems Via a Browder-Type Fixed-Point Theorem
This paper aims to provide new sufficient conditions for the existence of solutions to a vector quasi-equilibrium problem with set-valued map**s....
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On inexact versions of a quasi-equilibrium problem: a Cournot duopoly perspective
This paper has two parts. In the mathematical part, we present two inexact versions of the proximal point method for solving quasi-equilibrium...
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Existence Results for Quasi-variational Inequalities with Applications to Radner Equilibrium Problems
A quasi-variational inequality corresponds to a variational inequality in which the constraint set depends on the current value of the variable....
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Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization
In this paper we investigate quasi equilibrium problems in a real Banach space under the assumption of Brezis pseudomonotonicity of the function...
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A strong convergence theorem for quasi-equilibrium problems in Banach spaces
In this paper, we study an extragradient algorithm for approximating solutions of quasi-equilibrium problems in Banach spaces. We prove strong...
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Path connectedness of the efficient solution set for generalized vector quasi-equilibrium problems
In this paper, the efficient solution set for generalized vector quasi-equilibrium problems is investigated. By means of the linear scalarization...
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Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere
Quasi-equilibrium approximation is a widely used closure approximation approach for model reduction with applications in complex fluids, materials...
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An Existence Result for Quasi-equilibrium Problems via Ekeland’s Variational Principle
This paper deals with the existence of solutions to equilibrium and quasi-equilibrium problems without any convexity assumption. Coverage includes...
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Global Approximations of Vector Optimization Problems in Terms of Variational Convergence
Global approximations of scalar optimization problems in terms of variational convergence have been studied for several decades. However, there are...
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On the Existence of Global Weak Solutions to the 3D Electrically Conductive Rosensweig System and Their Convergence Towards Quasi-Equilibrium
In this article, we study an electrically conductive Rosensweig model for ferrofluids, whose Bloch–Torrey regularization was studied by Hamdache and...
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Correction to: Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization
A Correction to this paper has been published: 10.1007/s10898-021-01088-x
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Nash equilibria for quasi-linear parabolic problems
This paper discusses the application of the Nash strategy to a quasi-linear parabolic equation and a quasi-linear parabolic equation with a...
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On the study of multistage stochastic vector quasi-variational problems
This paper focuses on the study of multistage stochastic vector generalized quasi-variational inequalities with a variable ordering structure. The...
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An inertial parallel iterative method for solving generalized mixed equilibrium problems and common fixed point problem in reflexive Banach spaces
By combining the shrinking projection method with the parallel splitting-up technique and the inertial term, we introduce a new inertial parallel...
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Noncoercive and noncontinuous equilibrium problems: existence theorem in infinite-dimensional spaces
In this paper, we extend the definition of the qx -asymptotic functions, for an extended real-valued function defined on the infinite-dimensional...
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Generalized Nash equilibrium problems with mixed-integer variables
We consider generalized Nash equilibrium problems (GNEPs) with non-convex strategy spaces and non-convex cost functions. This general class of games...
