[PDF] Top 20 On System of Generalized Vector Quasiequilibrium Problems with Applications

... The rest of this paper is arranged in the following manner. The following section deals with some preliminary definitions, notations and results which will be used in the sequel. In Section 3, we establish existence ... See full document

... of generalized quasiequilibrium problems and some related models and we recall definitions for later ...these problems. In Section 3 and Section 4, applications of the main results in ... See full document

... In this work, we utilize a scalarization method to introduce a system of nonsmooth vector quasi-variational inequalities. We also study their relationship to Debreu type vector equilibrium ... See full document

... inclusion problems are among the most interesting and intensively studied classes of mathematical problems and have wide applications in the fields of optimiza- tion and control, economics and ... See full document

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

... the problems may not exist in many practical prob- lems because the data of the problems are not sufficiently ...practical applications and ...parametric generalized vector ... See full document

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

... a vector variational inequality: an extension of the Hartmann- Stampacchia theorem,” Journal of Optimization Theory and Applications, ...“The vector complementary problem and its equivalences with ... See full document

... weak vector variational inequality (WVVI) in [–, ...weak vector variational inequality with cone constraints by using a method of image space ...for generalized vector variational ... See full document

... abstract generalized vector quasi-equilibrium problem (for short, AGVQEP) in noncompact Hadamard ...conditions. Applications to an abstract vector quasi-equilibrium prob- lem (for short, ... See full document

... of applications in industry, physical, regional, social, pure, and applied ...and applications of variational in- equalities whereas for comprehensive bibliography for equilibrium problems we refer ... See full document

... Another question of interest to researchers is the relationship between several vari- ables. This problem arises in many areas such as social science, chemometrics, biology, and image genetics. For example, Joyner et al. ... See full document

... the system of generalized implicit vector quasivariational inequality problems and prove a new existence result of its solutions by Kakutani-Fan-Glicksberg’s fixed points ...the ... See full document

... of problems arising in mechanics, physics, optimization and con- trol, nonlinear programming, economics, finance, regional, structural, transportation, elasticity and applied sciences, and so ...and ... See full document

... An existence result for the solution set of a system of simultaneous generalized vector quasi-equilibrium problems (for short, (SSGVQEP)) is obtained, which improves Theorem 3.1 of the work of ... See full document

... bilevel problems such as math- ematical programming with equilibrium constraints [], optimization problems with variational inequality constraints [], optimization problems with Nash equilibrium ... See full document

... Equilibrium problems studied by Blum and Oettli [2] have wast applications in many branches of basic, pure and applied ...equilibrium problems are more general than many known problems such as ... See full document

... to vector equilibrium problems, most of the existing results correspond to the case when the order is induced by a closed convex cone in a vector ...of vector optimization; see, ...sequential ... See full document

... the generalized strong vector quasiequilibrium problems in locally G-convex spaces, by using Kakutani-Fan-Glicksberg fixed point theorem for upper semicontinuous set-valued mapping with ... See full document

... equilibrium problems with abstract and functional constraints ...of vector equilibrium problems with variable domination ...of vector quasiequilibrium ...of generalized ... See full document