On the existence and stability of solutions to stochastic equilibrium problems
نویسندگان
چکیده
In this paper we consider stochastic equilibrium problems involving parameter of probability measures. Employing the fixed point theorem Knaster, Kuratowski, Mazurkiewicz, and Fan (KKM-Fan), conditions for existence solutions to such are established. We then propose new metric concepts on underlying spaces study some properties corresponding these metrics. Afterwards, sufficient solution mappings problems, that closed, upper (lower) semicontinuous continuous with respect mentioned Finally, special cases optimization taken into account as applications.
منابع مشابه
On the existence and stability of approximate solutions of perturbed vector equilibrium problems
In this paper we consider several concepts of approximate minima of a set in normed vector spaces and we provide some results concerning the stability of these minima under perturbation of the underlying set with a sequence of sets converging in the sense of Painlevé–Kuratowski to the initial set. Then, we introduce the concept of approximate solution for equilibrium problem governed by set-val...
متن کاملOptimally Local Dense Conditions for the Existence of Solutions for Vector Equilibrium Problems
In this paper, by using C-sequentially sign property for bifunctions, we provide sufficient conditions that ensure the existence of solutions of some vector equilibrium problems in Hausdorff topological vector spaces which ordered by a cone. The conditions which we consider are not imposed on the whole domain of the operators involved, but just on a locally segment-dense subset of the domain.
متن کاملCommon solutions to pseudomonotone equilibrium problems
In this paper, we propose two iterative methods for finding a common solution of a finite family of equilibrium problems for pseudomonotone bifunctions. The first is a parallel hybrid extragradient-cutting algorithm which is extended from the previously known one for variational inequalities to equilibrium problems. The second is a new cyclic hybrid extragradient-cutting algorithm....
متن کاملExistence and Stability of Solutions for Implicit Multivalued Vector Equilibrium Problems
A class of implicit multivalued vector equilibrium problems is studied. By using the generalized Fan-Browder fixed point theorem, some existence results of solutions for the implicit multivalued vector equilibrium problems are obtained under some suitable assumptions. Moreover, a stability result of solutions for the implicit multivalued vector equilibrium problems is derived. These results ext...
متن کاملExistence of Solutions for Abstract Economic Equilibrium Problems and Algorithm
In this paper, we studied a new kind of vector equilibrium problem, we proved the existence of solutions for this kind of equilibrium problem by using the section theorem and KKM theorem these two tools,then we generalized this kind of vector equilibrium problem to a more general case. Equilibrium problems with lower and upper bounds is a open problem proposed by Isac, Sehgal and Singh in 1999....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rairo-operations Research
سال: 2021
ISSN: ['1290-3868', '0399-0559']
DOI: https://doi.org/10.1051/ro/2020001