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[PDF] Top 20 On existence of a solution for the system of generalized vector quasi equilibrium problems with upper semicontinuous set valued maps

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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

... Tarafdar, Generalized vector variational-like inequalities without monotonicity, Vector Variational Inequalities and Vector Equilibria: Mathematical Theories ...Yang, System of ... See full document

12

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

... the vector quasi-equilibrium problem is an important general- ization of the vector equilibrium problem which provides a unified model for vector quasi-variational ... See full document

23

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

... An existence result for the solution set of a system of simultaneous generalized vector quasi-equilibrium problems (for short, (SSGVQEP)) is obtained, which ... See full document

10

The Systems for Generalized of Vector Quasiequilibrium Problems and Its Applications

The Systems for Generalized of Vector Quasiequilibrium Problems and Its Applications

... of generalized quasiequilibrium problems which includes as special cases the generalized vector quasi-equilibrium problems, vector quasiequilibrium problems, ... See full document

14

Essential components of the set of solutions for the system of vector quasi equilibrium problems

Essential components of the set of solutions for the system of vector quasi equilibrium problems

... the set of fixed points of a single-valued ...the set of Nash equilib- rium points for an n-person non-cooperative game and proved the existence of essential components of the set of ... 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

... of vector optimization [, ], has been also used to study the lower semicontinuity of the set-valued solution mapping to a parametric vector variational in- equality ... See full document

19

Scalarized system of nonsmooth vector quasi variational inequalities with applications to Debreu type vector equilibrium problems

Scalarized system of nonsmooth vector quasi variational inequalities with applications to Debreu type vector equilibrium problems

... a system of nonsmooth vector quasi-variational ...type vector equilibrium ...some existence results for solutions of these systems by using maximal element theorems for a family ... See full document

10

Second order composed contingent epiderivatives and set valued vector equilibrium problems

Second order composed contingent epiderivatives and set valued vector equilibrium problems

... The vector equilibrium problem, which contains vector optimization problems, vector variational inequality problems and vector complementarity problems as special ... See full document

17

Generalized strong vector quasi equilibrium problems with variable ordering structure

Generalized strong vector quasi equilibrium problems with variable ordering structure

... The rest of the paper is organized as follows. In Sect. 2, some notations are fixed, several well-known concepts and mathematical tools are recalled. In Sect. 3, a local property for cone-valued mapping is ... See full document

17

A note on solution lower semicontinuity for parametric generalized vector equilibrium problems

A note on solution lower semicontinuity for parametric generalized vector equilibrium problems

... of solution maps for parametric vector equilibrium problems (PVEP, in short) is an important topic in optimization theory and ...the upper and/or lower semicontinuity of ... See full document

10

Generalized strict feasibility and solvability for generalized vector equilibrium problem with set valued map in reflexive Banach spaces

Generalized strict feasibility and solvability for generalized vector equilibrium problem with set valued map in reflexive Banach spaces

... The generalized vector equilibrium problem finds applications in economics, finance, image reconstruction, ecology, transportation, network, and elasticity in ...the existence of ... See full document

11

Existence stability theorems for strong vector set valued equilibrium problems in reflexive Banach spaces

Existence stability theorems for strong vector set valued equilibrium problems in reflexive Banach spaces

... the solution set is very important. To our knowledge, existence results proposed in [] can be considered as a pioneering work for ...the solution set for strong vector ... See full document

14

The system of generalized set valued equilibrium problems

The system of generalized set valued equilibrium problems

... of system of generalized set-valued equilibrium problems which generalizes and unifies the system of set-valued equilibrium problems, the ... See full document

9

Approximate weakly efficient solutions of set valued vector equilibrium problems

Approximate weakly efficient solutions of set valued vector equilibrium problems

... the set-valued vector equilibrium problems and reveal the re- lationship between weakly efficient solutions and approximate weakly efficient ...for set-valued vector ... See full document

17

Existence Results for Generalized ε-Vector Equilibrium Problems

Existence Results for Generalized ε-Vector Equilibrium Problems

... The following theorem yields a better result. Indeed, when X is infinite dimensional, the function x → kxk is not weakly upper semicontinuous, since otherwise the weak and strong topologies coincide. Hence ... See full document

15

Generalized nonlinear vector mixed quasi variational like inequality governed by a multi valued map

Generalized nonlinear vector mixed quasi variational like inequality governed by a multi valued map

... of problems arising in pure and applied sciences including elas- ticity, optimization, economics, transportation, and structural analysis; see, for instance, [–] and the references ...A vector variational ... See full document

11

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

... Moreover, since hy Fx, y, g y is a generalized C × K-subconvexlike on D, by Lemma 2.5, cone hD int H × int K is convex. This follows from Lemma 2.6 that clconehD C × K is convex. By the standard separation theorem ... See full document

13

Gap Functions and Error Bounds for Set Valued Vector Quasi Variational Inequality Problems

Gap Functions and Error Bounds for Set Valued Vector Quasi Variational Inequality Problems

... [5] Aussel, D., Correa, R. and Marechal, M. (2011) Gap Functions for Quasivariational Inequalities and Generalized Nash Equilibrium Problems. Journal of Optimization Theory and Applications , 151, ... See full document

15

Iterative Methods for Finding Common Solution of Generalized Equilibrium Problems and Variational Inequality Problems and Fixed Point Problems of a Finite Family of Nonexpansive Mappings

Iterative Methods for Finding Common Solution of Generalized Equilibrium Problems and Variational Inequality Problems and Fixed Point Problems of a Finite Family of Nonexpansive Mappings

... Let H be a real Hilbert space, and let C be a nonempty closed convex subset of H. Let A : C → H be a nonlinear mapping, and let F : C × C → R be a bifunction. A mapping T of H into itself is called nonexpansive if Tx − ... See full document

29

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

... (VEP), generalized type I Tykhonov well-posedness (GTW- Pness for brevity) and generalized type II Tykhonov well-posedness (GTWPness for brevity) for (GVQEP) become type I Levitin-Polyak well-posedness ... See full document

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