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[PDF] Top 20 Several types of well-posedness for generalized vector quasi-equilibrium problems with their relations

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Several types of well-posedness for generalized vector quasi-equilibrium problems with their relations

Several types of well-posedness for generalized vector quasi-equilibrium problems with their relations

... the well-posedness for EPs involving set-valued objective ...explore well-posed VEPs with set-valued objective ...eralized vector quasi-equilibrium problems (in short, ... See full document

22

Well posed generalized vector equilibrium problems

Well posed generalized vector equilibrium problems

... the vector case and, for this end, one needs an appropriate scalarizarion ...some well-posedness properties when one passes from the vectorial to the scalar case, and simple examples show that linear ... See full document

12

Levitin Polyak Well Posedness for Equilibrium Problems with Functional Constraints

Levitin Polyak Well Posedness for Equilibrium Problems with Functional Constraints

... librium problems. We introduce several types of Levitin-Polyak well-posedness for equilib- rium problems with abstract and functional ...these types of ... See full document

14

Existence and Hadamard well posedness of a system of simultaneous generalized vector quasi equilibrium problems

Existence and Hadamard well posedness of a system of simultaneous generalized vector quasi equilibrium problems

... natural quasi-convexity, we obtain an existence theorem of solutions for ...Hadamard well-posedness for (SSGVQEP) and discuss sufficient conditions for Hadamard well-posedness of ... See full document

10

Well posed symmetric vector quasi equilibrium problems

Well posed symmetric vector quasi equilibrium problems

... is well known, the notion of well-posedness can be divided into two different groups: Hadamard type and Tykhonov type [, ...type well- posedness is based on the continuous dependence of ... See full document

10

The well posedness for a system of generalized quasi variational inclusion problems

The well posedness for a system of generalized quasi variational inclusion problems

... tion problems. In , Tykhonov [] first introduced the concept of well-posedness for a global minimizing problem, which has become known as Tykhonov ...Tykhonov well-posedness, ... See full document

15

Well posedness for parametric generalized vector quasivariational inequality problems of the Minty type

Well posedness for parametric generalized vector quasivariational inequality problems of the Minty type

... of well-posedness for unconstrained scalar optimization problems was first introduced and studied by Tykhonov [], which has become known as Tykhonov well- ...of well-posedness ... See full document

16

Existence of solutions for generalized vector quasi-equilibrium problems in abstract convex spaces with applications

Existence of solutions for generalized vector quasi-equilibrium problems in abstract convex spaces with applications

... topological vector space, the convex space, the H-space, and the G-convex space as special ...Recently, several authors have focused on the studies con- cerned with the set-valued maps and optimization ... See full document

23

Levitin Polyak well posedness for generalized semi infinite multiobjective programming problems

Levitin Polyak well posedness for generalized semi infinite multiobjective programming problems

... is well known that the well-posedness is very important for both optimization theory and numerical methods of optimization problems, which guar- antees that, for approximating solution ... See full document

13

On the Hölder continuity of solution maps to parametric generalized vector quasi equilibrium problems via nonlinear scalarization

On the Hölder continuity of solution maps to parametric generalized vector quasi equilibrium problems via nonlinear scalarization

... The generalized vector quasi-equilibrium problem is a unified model of several problems, namely generalized vector quasi-variational inequalities, ... See full document

19

Well posedness for generalized \((\eta ,g,\varphi )\) mixed vector variational type inequality and optimization problems

Well posedness for generalized \((\eta ,g,\varphi )\) mixed vector variational type inequality and optimization problems

... by several authors (see [1, 4, 9, 14, 16, ...programming problems under mild conditions, consequently the concept of Tykhonov well-posedness has also been generalized to variational ... See full document

16

On existence of a solution for the system of generalized vector quasi equilibrium problems with upper semicontinuous set valued maps

On existence of a solution for the system of generalized vector quasi equilibrium problems with upper semicontinuous set valued maps

... of generalized vector quasi-equilibrium prob- lems with upper semicontinuous set-valued maps and present several existence results of a solution for this system of generalized ... See full document

12

The uniqueness and well-posedness of vector equilibrium problems with a representation theorem for the solution set

The uniqueness and well-posedness of vector equilibrium problems with a representation theorem for the solution set

... The vector equilibrium problem (for short, VEP) is a natural generalization of the equilib- rium problem for the vector-valued ...is well known that the vector equilibrium ... See full document

13

Generalized strong vector quasi equilibrium problems with variable ordering structure

Generalized strong vector quasi equilibrium problems with variable ordering structure

... so-called equilibrium problem, which is also called generalized Ky Fan minimax in- equality, was firstly studied by Blum and Oettli [1] in 1994 in finite-dimensional Euclidean ...many problems ... See full document

17

Well-posedness for parametric strong vector quasi-equilibrium problems with applications

Well-posedness for parametric strong vector quasi-equilibrium problems with applications

... [28], vector equilibrium problems [29-31], parametric vector equilibrium pro- blems [32], vector quasi-equilibrium problems [33], generalized ... See full document

14

Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems

Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems

... two types of generalized Levitin-Polyak well-posedness of vector equilibrium problems with functional constraints as well as an abstract set constraint and ... See full document

14

Existence theorems of an extension for generalized strong vector quasi-equilibrium problems

Existence theorems of an extension for generalized strong vector quasi-equilibrium problems

... the equilibrium problems was introduced by Takahashi [, Lemma ] Blum and Oettli [] and Noor and Oettli ...The equilibrium problem theory provides a novel and united treatment of a wide class of ... See full document

9

Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints

Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints

... study several types of Levitin-Polyak LP in short well posednesses and generalized LP well posednesses for vector quasivariational inequalities with functional ...four ... See full document

16

On the existence and stability of solutions of a mixed general type of variational relation problems

On the existence and stability of solutions of a mixed general type of variational relation problems

... is well known that the equilibrium problems are unified models of several problems, namely optimization problems, saddle point problems, variational inequalities, fixed ... See full document

10

Optimality Conditions of Globally Efficient Solution for Vector Equilibrium Problems with Generalized Convexity

Optimality Conditions of Globally Efficient Solution for Vector Equilibrium Problems with Generalized Convexity

... Vector equilibrium problems, which contain vector optimization problems, vector variational inequality problems, and vector complementarity problems as ... See full document

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