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[PDF] Top 20 7. Existence of solutions of mixed vector variational-like inequalities

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7. Existence of solutions of mixed vector  variational-like inequalities

7. Existence of solutions of mixed vector variational-like inequalities

... Variational inequalities were introduced and studied by Stampacchia [11] in early ...of variational inequalities. Variational inequali- ties have been generalized and extended in ... See full document

8

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

... A vector variational inequality in a finite-dimensional Euclidean space was first introduced by Giannessi ...scalar variational inequality to the vector case by virtue of multi-criterion ... See full document

11

Existence and algorithm of solutions for generalized nonlinear
variational like inequalities

Existence and algorithm of solutions for generalized nonlinear variational like inequalities

... Variational-like inequalities are a useful and important generalization of variational in- equalities [3, 8, ...6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, ... See full document

9

On the Existence Result for System of Generalized Strong Vector Quasiequilibrium Problems

On the Existence Result for System of Generalized Strong Vector Quasiequilibrium Problems

... of vector equilibrium problems SVEPs, that is, a family of equilibrium problems for vector-valued bifunctions defined on a product set, with applications in vector optimization problems and Nash ... See full document

9

Existence theorems of generalized quasi variational like inequalities for η h pseudo monotone type I operators on non compact sets

Existence theorems of generalized quasi variational like inequalities for η h pseudo monotone type I operators on non compact sets

... some existence theorems for the solutions to the generalized quasi-variational-like inequalities for pseudo-monotone type I operators T with non- compact domain in locally convex ... See full document

12

Existence results for generalized mixed vector variational-like inequality problems with exponential type invexities

Existence results for generalized mixed vector variational-like inequality problems with exponential type invexities

... study vector variational-like inequality problem in Banach ...generalized variational-like inequalities with generalized α -monotone multifunctions stud- ied by Ceng et ...type ... See full document

20

The existence of contingent epiderivative for a set valued mapping and vector variational like inequalities

The existence of contingent epiderivative for a set valued mapping and vector variational like inequalities

... its existence theory is also ...the solutions of the variational-like inequality problems are equivalent to the minima (ideal minima) of set-valued optimization prob- ... See full document

13

Generalized Vector Equilibrium Like Problems without Pseudomonotonicity in Banach Spaces

Generalized Vector Equilibrium Like Problems without Pseudomonotonicity in Banach Spaces

... some existence theorems of solutions for this class of generalized vector equilibrium-like ...these existence theorems can be applied to derive some existence results of ... See full document

13

Generalized vector quasi variational like inequalities

Generalized vector quasi variational like inequalities

... some existence results of solutions for the two types of generalized vector quasi-variational inequalities without monotonicity and ...topological vector space, X be a nonempty ... See full document

11

On Generalized Strong Vector Variational Like Inequalities in Banach Spaces

On Generalized Strong Vector Variational Like Inequalities in Banach Spaces

... The existence of solu- tions for (strong) vector variational inequalities is still an open ...some existence results of solutions for a class of strong vector ... See full document

13

Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational Like Inequalities

Auxiliary Principle for Generalized Strongly Nonlinear Mixed Variational Like Inequalities

... nonlinear mixed variational-like inequality. Several existence results of solutions for the generalized strongly nonlinear mixed variational-like inequality ... See full document

16

Applications of W  A  Kirk's fixed point theorem to generalized nonlinear variational like inequalities in reflexive Banach spaces

Applications of W A Kirk's fixed point theorem to generalized nonlinear variational like inequalities in reflexive Banach spaces

... Tu − Au,η(x,u) + b(u, x) − b(u,u) ≥ 0, ∀ x ∈ D. (1.7) They obtained the existence uniqueness theorems of solutions for problems (1.6) and (1.7) in nonempty closed convex subsets of reflexive Banach spaces. ... See full document

9

Existence theorems of generalized quasi variational like inequalities for pseudo monotone type II operators

Existence theorems of generalized quasi variational like inequalities for pseudo monotone type II operators

... on solutions for a new class of gener- alized quasi-variational-like inequalities for pseudo-monotone type II operators defined on compact sets in topological vector ... See full document

18

A class of generalized invex functions and vector variational like inequalities

A class of generalized invex functions and vector variational like inequalities

... their existence. Then we consider the relationships of solutions between two types of vector variational-like inequalities and multi-objective programming ...the existence ... See full document

14

Existence of Solutions for  Generalized Vector Variational Like Inequalities

Existence of Solutions for Generalized Vector Variational Like Inequalities

... Vector variational inequality was first introduced and studied by Giannessi 1 in the setting of finite-dimensional Euclidean ...for vector variational inequalities, vector ... See full document

13

On the existence theorems of solutions for generalized vector variational inequalities

On the existence theorems of solutions for generalized vector variational inequalities

... The variational inequality theory, which is mainly due to Stampacchia [], provides very powerful techniques for studying problems arising in mechanics, optimization, trans- portation, economics, contact problems ... See full document

13

Existence of solutions for generalized nonlinear mixed variational like inequalities in Banach spaces

Existence of solutions for generalized nonlinear mixed variational like inequalities in Banach spaces

... The authors would like to express their thanks to the referees for helpful comments and suggestions. This work was supported by the Tianyuan Grant from the National Science Foundation of China (no. 10426008) and ... See full document

15

Existence and approximation of solutions for generalized extended nonlinear variational inequalities

Existence and approximation of solutions for generalized extended nonlinear variational inequalities

... It is our aim in this paper, to consider a new class of generalized extended nonlinear quasi-variational inequality problems, involving set-valued relaxed monotone operators, and to establish its equivalence with ... See full document

13

Existence and decay of solutions of some nonlinear parabolic variational inequalities

Existence and decay of solutions of some nonlinear parabolic variational inequalities

... On the existence of bounded solution for nonlinear evolution equation of parabolic type, Math.. Educ., Kyushu Univ.,.[r] ... See full document

24

A kind of system of multivariate variational inequalities and the existence theorem of solutions

A kind of system of multivariate variational inequalities and the existence theorem of solutions

... The variational inequality problem has been recognized as one of the suitable mathemati- cal models for dealing with many problems arising in different fields, such as optimization theory, game theory, economic ... See full document

10

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