Existence and Stability of Solutions for Implicit Multivalued Vector Equilibrium Problems
نویسندگان
چکیده
منابع مشابه
Existence 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 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 کاملExistence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings
and Applied Analysis 3 Definition 3 (see [29]). Let X be a topological space and let Y be a set. A map T : X → 2 is said to have the local intersection property if for each x ∈ X with T(x) ̸ = 0 there exists an open neighborhood V(x) of x such that ⋂ z∈V(x) T(z) ̸ = 0. The following lemma is useful in what follows and can be found in [30]. Lemma 4. Let X be a topological space and let Y be a set....
متن کاملExistence Results for Generalized ε-Vector Equilibrium Problems
This paper studies some existence results for generalized epsilon-vector equilibrium problems and generalized epsilon-vector variational inequalities. The existence results for solutions are derived by using the celebrated KKM theorem. The results achieved in this paper generalize and improve the works of many authors in references.
متن کاملSome existence results for generalized vector quasi-equilibrium problems
In this paper, we introduce and study a class of generalized vector quasi-equilibrium problem, which includes many vector equilibrium problems, equilibrium problems, vector variational inequalities and variational inequalities as special cases. Using one person game theorems, the concept of escaping sequences and without convexity assumptions, we prove some existence results for ...
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: Fixed Point Theory and Applications
سال: 2011
ISSN: 1687-1820,1687-1812
DOI: 10.1155/2011/381218