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[PDF] Top 20 Approximate solutions for nonconvex set valued optimization and vector variational inequality

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Approximate solutions for nonconvex set valued optimization and vector variational inequality

Approximate solutions for nonconvex set valued optimization and vector variational inequality

... of set-valued maps is most important for the formulation of optimality ...a set-valued map as an extension of the concept of Fréchet ...for set-valued ...for ... See full document

16

Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spaces

Connectedness of approximate solutions set for vector equilibrium problems in Hausdorff topological vector spaces

... as optimization problems, variational inequality problems, complementary problems, minimax inequal- ity problems, Nash equilibrium problems, and fixed point problems, and has been widely applied to ... See full document

11

Approximate weakly efficient solutions of set valued vector equilibrium problems

Approximate weakly efficient solutions of set valued vector equilibrium problems

... Vector optimization problems, vector variational inequality problems, vector complemen- tarity problems, and vector saddle point problems are particular cases of ... See full document

17

The existence of solutions for systems of generalized set-valued nonlinearquasi-variational inequalities

The existence of solutions for systems of generalized set-valued nonlinearquasi-variational inequalities

... the variational problem is to transfer the variational inequality into an operator equation, and then transfer the operator equa- tion into the fixed point ...generalized set-valued ... See full document

15

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

... the inequality into an equivalent constrained or uncon- strained optimization problem by means of the notion of gap function, please see, [5] [18] [19] and references cited ... See full document

15

Interval-valued vector optimization problems involving generalized approximate convexity

Interval-valued vector optimization problems involving generalized approximate convexity

... LU-efficient solutions for interval-valued vector optimization problems are ...generalized approximate convexity assumptions using the concept of approximate vector ... See full document

13

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

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

13

Existence of Solutions for Nonconvex and Nonsmooth Vector Optimization Problems

Existence of Solutions for Nonconvex and Nonsmooth Vector Optimization Problems

... of nonconvex and nonsmooth vector optimiza- tion problems in Banach ...the nonconvex and nonsmooth vector optimization problem and the vector variational-like ... See full document

7

Painleve Kuratowski Convergences for the Solution Sets of Set Valued Weak Vector Variational Inequalities

Painleve Kuratowski Convergences for the Solution Sets of Set Valued Weak Vector Variational Inequalities

... of vector variational inequality VVI was introduced by Giannessi 1 in 1980, many important results on various kinds of vector variational inequality problems have been ... See full document

14

New Approximate Schemes for Generalized General Set-Valued Mixed Quasi Variational Inequalities

New Approximate Schemes for Generalized General Set-Valued Mixed Quasi Variational Inequalities

... years, variational inequalities have been generalized and extended in many different directions using novel and innovative techniques to study wider classes of unrelated problems in mechanics, physics, ... See full document

9

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

... Variational inequality theory has appeared as an effective and powerful tool to study and investigate a wide class of problems arising in pure and applied sciences including elas- ticity, ... See full document

11

An Iterative Algorithm for Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities

An Iterative Algorithm for Mixed Equilibrium Problems and Variational Inclusions Approach to Variational Inequalities

... optimal solutions in many optimization related areas including mathematical programming, complementarity, variational inequalities, optimal control, mathematical economics, equilibria, and game ...of ... See full document

15

Globally proper efficiency of set valued optimization and vector variational inequality involving the generalized contingent epiderivative

Globally proper efficiency of set valued optimization and vector variational inequality involving the generalized contingent epiderivative

... of vector variational inequality in real normed ...such vector vari- ational inequality is characterized by the contingent epiderivative of a set-valued ...of ... See full document

12

Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators

Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators

... We denote the set of solutions of Problem () by VI(C, A). This sort of problem was first studied by Lions and Stampacchia [] and is central to the study of nonlinear analysis. Problem () can be solved by ... See full document

10

Some Iterative Methods for Solving Equilibrium Problems and Optimization Problems

Some Iterative Methods for Solving Equilibrium Problems and Optimization Problems

... the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications ... See full document

25

A Viscosity of Cesàro Mean Approximation Methods for a Mixed Equilibrium, Variational Inequalities, and Fixed Point Problems

A Viscosity of Cesàro Mean Approximation Methods for a Mixed Equilibrium, Variational Inequalities, and Fixed Point Problems

... Throughout this paper, we assume that H is a real Hilbert space with inner product and norm are denoted by ·, · and · , respectively and let C be a nonempty closed convex subset of H. A mapping T : C → C is called ... See full document

24

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

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

... scalar optimization problems with functional constraints [], vector optimization problems [], variational inequality problems [], gen- eralized mixed variational ... See full document

15

Generalized Vector Complementarity Problems with Moving Cones

Generalized Vector Complementarity Problems with Moving Cones

... of solutions for a vector variational inequality: an extension of the Hartmann- Stampacchia theorem,” Journal of Optimization Theory and Applications, ...“The vector ... See full document

16

Optimality for set valued optimization in the sense of vector and set criteria

Optimality for set valued optimization in the sense of vector and set criteria

... the set criterion, also called set optimization, was proposed by Kuroiwa [, ] in  for the first ...time. Set optimization consists of looking for image sets F(¯ x), with x ¯ ∈ S, ... See full document

11

Approximate solutions to variational inequality over the fixed point set of a strongly nonexpansive mapping

Approximate solutions to variational inequality over the fixed point set of a strongly nonexpansive mapping

... Variational inequality problems over fixed point sets of nonexpansive mappings include many practical problems in engineering and applied mathematics, and a number of iterative methods have been presented to ... See full document

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