The GAP function of a parametric mixed strong vector quasivariational inequality problem
نویسندگان
چکیده
منابع مشابه
On Generalized Vector Quasivariational-like Inequality Problems
We introduce a class of generalized vector quasivariational-like inequality problems in Banach spaces. We derive some new existence results by using KKM-Fan theorem and an equivalent fixed point theorem. As an application of our results, we have obtained as special cases the existence results for vector quasi-equilibrium problems, generalized vector quasivariational inequality and vector quasi-...
متن کاملWell-Posedness of Generalized Vector Quasivariational Inequality Problems
We introduce several types of the Levitin-Polyak well-posedness for a generalized vector quasivariational inequality problem with both abstract set constraints and functional constraints. Criteria and characterizations of these types of the Levitin-Polyak well-posednesses with or without gap functions of generalized vector quasivariational inequality problem are given. The results in this paper...
متن کاملExistence Theorems for Quasivariational Inequality Problem on Proximally Smooth Sets
and Applied Analysis 3 2. Main Results In this paper, we are interested in the following classes of mappings. Definition 8. Let T : H → H be a mapping.Then T is called (a) β-strongly monotone if there exists β > 0 such that ⟨T (x) − T (y) , x − y⟩ ≥ β x − y 2 , ∀x, y ∈ H, (12) (b) ξLipschitz if there exists ξ > 0 such that T (x) − T (y) ≤ ξ x − y , ∀x, y ∈ H. (13) Tha...
متن کاملParametric generalized strongly nonlinear mixed quasivariational inclusions in Banach spaces
In this paper, by using the concept of the resolvent operator, we study the behavior and sensitivity analysis of the solution set for a class of parametric generalized strongly nonlinear mixed quasivariational inclusion problem in Banach spaces. The results presented in this paper are new and generalize many known results in this field. Mathematics Subject Classification: 49J40, 90C20
متن کاملGeneralized g-quasivariational inequality
Suppose that X is a nonempty subset of a metric space E and Y is a nonempty subset of a topological vector space F. Let g : X → Y and ψ : X ×Y →R be two functions and let S : X → 2Y and T : Y → 2F be two maps. Then the generalized g-quasivariational inequality problem (GgQVI) is to find a point x ∈ X and a point f ∈ T(g(x)) such that g(x) ∈ S(x) and supy∈S(x){Re〈 f , y − g(x)〉 + ψ(x, y)} = ψ(x,...
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: Science and Technology Development Journal
سال: 2017
ISSN: 1859-0128,1859-0128
DOI: 10.32508/stdj.v20ik2.458