Journal of Optimization Theory and Applications, ISSN 0022-3239, 6/2011, Volume 149, Issue 3, pp. 564 - 579

In this paper, we study the solution stability of parametric weak Vector Variational Inequalities with set-valued and single-valued mappings, respectively. We...

Lower semicontinuity | Parametric weak Vector Variational Inequality | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Mathematics | Theory of Computation | Engineering, general | Applications of Mathematics | Strictly C -pseudomapping | Degree theory | Optimization | Strictly C-pseudomapping | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | STABILITY | SENSITIVITY | COMPLEMENTARITY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SOLUTION CONTINUITY | SOLUTION SETS | NORMAL MAPS | EQUILIBRIUM PROBLEMS | MINIMAL ELEMENT | Studies | Banach spaces

Lower semicontinuity | Parametric weak Vector Variational Inequality | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Mathematics | Theory of Computation | Engineering, general | Applications of Mathematics | Strictly C -pseudomapping | Degree theory | Optimization | Strictly C-pseudomapping | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | STABILITY | SENSITIVITY | COMPLEMENTARITY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | SOLUTION CONTINUITY | SOLUTION SETS | NORMAL MAPS | EQUILIBRIUM PROBLEMS | MINIMAL ELEMENT | Studies | Banach spaces

Journal Article

2.
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Semicontinuity of Solution Mappings of Parametric Generalized Vector Equilibrium Problems

Journal of Optimization Theory and Applications, ISSN 0022-3239, 9/2008, Volume 138, Issue 3, pp. 429 - 443

In this paper, we study the ε-generalized vector equilibrium problem (ε-GVEP) and the ε-extended vector equilibrium problem (ε-EVEP), which can be regarded as...

ε -Extended vector equilibrium problems | Upper semicontinuity | Lower semicontinuity | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | C -Compactness | Mathematics | Theory of Computation | Engineering, general | Applications of Mathematics | ε -Generalized vector equilibrium problems | Optimization | C-Compactness | ε-Extended vector equilibrium problems | ε-Generalized vector equilibrium problems | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EXISTENCE RESULT | epsilon-generalized vector equilibrium problems | lower semicontinuity | C-compactness | epsilon-extended vector equilibrium problems | upper semicontinuity | Vector space | Continuity | Mapping | Approximation | Vectors (mathematics) | Mathematical analysis

ε -Extended vector equilibrium problems | Upper semicontinuity | Lower semicontinuity | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | C -Compactness | Mathematics | Theory of Computation | Engineering, general | Applications of Mathematics | ε -Generalized vector equilibrium problems | Optimization | C-Compactness | ε-Extended vector equilibrium problems | ε-Generalized vector equilibrium problems | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | EXISTENCE RESULT | epsilon-generalized vector equilibrium problems | lower semicontinuity | C-compactness | epsilon-extended vector equilibrium problems | upper semicontinuity | Vector space | Continuity | Mapping | Approximation | Vectors (mathematics) | Mathematical analysis

Journal Article

Applications of Mathematics, ISSN 0862-7940, 12/2016, Volume 61, Issue 6, pp. 651 - 668

In this paper we consider weak and strong quasiequilibrium problems with moving cones in Hausdorff topological vector spaces. Sufficient conditions for...

C -upper semicontinuity | C -lower semicontinuity | well-posedness | Theoretical, Mathematical and Computational Physics | upper bounded equilibrium problem | Mathematics | Optimization | 90C31 | quasiequilibrium problem | 49K40 | Classical and Continuum Physics | Analysis | Appl.Mathematics/Computational Methods of Engineering | lower bounded equilibrium problem | Applications of Mathematics | network traffic problem | 91B50 | C-lower semicontinuity | C-upper semicontinuity | EXISTENCE | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | HOLDER CONTINUITY | SPACES | STABILITY | SENSITIVITY | QUASIEQUILIBRIA | UPPER-BOUNDS | CONSTRAINTS | SEMICONTINUITY | Usage | Continuity | Communications traffic | Studies | Mathematical analysis | Equilibrium | Networks | Applications of mathematics | Cones | Perturbation methods | Vector spaces | Vectors (mathematics) | Well posed problems

C -upper semicontinuity | C -lower semicontinuity | well-posedness | Theoretical, Mathematical and Computational Physics | upper bounded equilibrium problem | Mathematics | Optimization | 90C31 | quasiequilibrium problem | 49K40 | Classical and Continuum Physics | Analysis | Appl.Mathematics/Computational Methods of Engineering | lower bounded equilibrium problem | Applications of Mathematics | network traffic problem | 91B50 | C-lower semicontinuity | C-upper semicontinuity | EXISTENCE | MATHEMATICS, APPLIED | OPTIMIZATION PROBLEMS | HOLDER CONTINUITY | SPACES | STABILITY | SENSITIVITY | QUASIEQUILIBRIA | UPPER-BOUNDS | CONSTRAINTS | SEMICONTINUITY | Usage | Continuity | Communications traffic | Studies | Mathematical analysis | Equilibrium | Networks | Applications of mathematics | Cones | Perturbation methods | Vector spaces | Vectors (mathematics) | Well posed problems

Journal Article

Journal of Nonlinear and Convex Analysis, ISSN 1345-4773, 2018, Volume 19, Issue 7, pp. 1163 - 1179

The purpose of this paper is to present sufficient conditions for the existence of solutions of strong vector equilibrium problems given by a sum of two...

C-convexity | Lower semicontinuity | Equilibrium problem with constraints | Strong essential quasimonotonicity | equilibrium problem with constraints | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | strong essential quasimonotonicity | OPERATORS

C-convexity | Lower semicontinuity | Equilibrium problem with constraints | Strong essential quasimonotonicity | equilibrium problem with constraints | MATHEMATICS | MATHEMATICS, APPLIED | MAPPINGS | strong essential quasimonotonicity | OPERATORS

Journal Article

Bulletin of the Iranian Mathematical Society, ISSN 1018-6301, 02/2019, Volume 45, Issue 1, pp. 35 - 58

In this paper, by proposing a new type of generalized C-quasiconvexity for the set-valued mappings and using the nonlinear scalarization function and its...

Symmetric vector equilibrium problem | Upper and lower semicontinuity | Generalized C-quasiconvexity | Nonlinear scalarization function | VARIATIONAL-INEQUALITIES | SYSTEM | MATHEMATICS | THEOREMS | SETS

Symmetric vector equilibrium problem | Upper and lower semicontinuity | Generalized C-quasiconvexity | Nonlinear scalarization function | VARIATIONAL-INEQUALITIES | SYSTEM | MATHEMATICS | THEOREMS | SETS

Journal Article

Optimization, ISSN 0233-1934, 2018, pp. 1 - 21

Journal Article

Mathematical and Computer Modelling, ISSN 0895-7177, 2006, Volume 43, Issue 11, pp. 1267 - 1274

In this paper, we consider a class of parametric implicit vector equilibrium problems in Hausdorff topological vector spaces where a mapping and a set are...

Upper semicontinuity | Parametric implicit vector equilibrium problems | Lower semicontinuity | Solution set mapping | [formula omitted]-convex | C-convex | GENERALIZED MONOTONE BIFUNCTIONS | EXISTENCE | SYSTEM | MATHEMATICS, APPLIED | MULTIVALUED MAPPINGS | THEOREM | lower semicontinuity | solution set mapping | upper semicontinuity | VARIATIONAL-INEQUALITIES | COMPUTER SCIENCE, SOFTWARE ENGINEERING | parametric implicit vector equilibrium problems | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Upper semicontinuity | Parametric implicit vector equilibrium problems | Lower semicontinuity | Solution set mapping | [formula omitted]-convex | C-convex | GENERALIZED MONOTONE BIFUNCTIONS | EXISTENCE | SYSTEM | MATHEMATICS, APPLIED | MULTIVALUED MAPPINGS | THEOREM | lower semicontinuity | solution set mapping | upper semicontinuity | VARIATIONAL-INEQUALITIES | COMPUTER SCIENCE, SOFTWARE ENGINEERING | parametric implicit vector equilibrium problems | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 3/2017, Volume 172, Issue 3, pp. 726 - 758

The main goal of this paper is to introduce and study bilevel vector equilibrium problems. We first establish some existence results for solutions of vector...

C -maximal bifunctions | Vector equilibrium problems | Mixed vector equilibrium problems | Bilevel programs | C -upper (lower) semicontinuity | Bilevel vector equilibrium problems | 90C29 | Theory of Computation | Mathematics | Optimization | Convergence analysis | 47J20 | Auxiliary principle | 90C30 | Calculus of Variations and Optimal Control; Optimization | 90C33 | 49J40 | C -convex functions | C -monotone bifunctions | Operation Research/Decision Theory | Engineering, general | Applications of Mathematics | C-maximal bifunctions | C-convex functions | C-monotone bifunctions | C-upper (lower) semicontinuity | GENERALIZED MONOTONE BIFUNCTIONS | MATHEMATICS, APPLIED | SPACES | VARIATIONAL-INEQUALITIES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | CONSTRAINTS | Islamic schools | Methods | Algorithms | Studies | Mathematical models | Equilibrium | Convergence | Regularization

C -maximal bifunctions | Vector equilibrium problems | Mixed vector equilibrium problems | Bilevel programs | C -upper (lower) semicontinuity | Bilevel vector equilibrium problems | 90C29 | Theory of Computation | Mathematics | Optimization | Convergence analysis | 47J20 | Auxiliary principle | 90C30 | Calculus of Variations and Optimal Control; Optimization | 90C33 | 49J40 | C -convex functions | C -monotone bifunctions | Operation Research/Decision Theory | Engineering, general | Applications of Mathematics | C-maximal bifunctions | C-convex functions | C-monotone bifunctions | C-upper (lower) semicontinuity | GENERALIZED MONOTONE BIFUNCTIONS | MATHEMATICS, APPLIED | SPACES | VARIATIONAL-INEQUALITIES | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICAL PROGRAMS | CONSTRAINTS | Islamic schools | Methods | Algorithms | Studies | Mathematical models | Equilibrium | Convergence | Regularization

Journal Article

Journal of Industrial and Management Optimization, ISSN 1547-5816, 2008, Volume 4, Issue 1, pp. 167 - 181

In this paper, we study the E-generalized strong vector equilibrium problem (epsilon-GSVEP) and E-extended vector equilibrium problem (epsilon-ESVEP) which can...

Lower semicontinuity | upper semicontinuity | ε-generalized vector equilibrium problem | C-compactness | epsilon-generalized vector equilibrium problem | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | EXISTENCE RESULT | ENGINEERING, MULTIDISCIPLINARY | THEOREMS | lower semicontinuity

Lower semicontinuity | upper semicontinuity | ε-generalized vector equilibrium problem | C-compactness | epsilon-generalized vector equilibrium problem | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | EXISTENCE RESULT | ENGINEERING, MULTIDISCIPLINARY | THEOREMS | lower semicontinuity

Journal Article

Taiwanese Journal of Mathematics, ISSN 1027-5487, 2009, Volume 13, Issue 2 B, pp. 757 - 775

In this paper we deal with the following generalized vector quasi-equilibrium problem: given a closed convex set K in a normed space X, a subset D in a...

Generalized vector quasi-equilibrium problem | Upper semicontinuity | Lower semicontinuity | C-convex | Hausdorff lower semicontinuity | C-lower semicontinuity | C-upper semicontinuity | Solution existence | Implicit generalized quasivariational inequality | THEOREM | VARIATIONAL INEQUALITY PROBLEM | MATHEMATICS | MAPPINGS | OPTIMIZATION | OPERATORS

Generalized vector quasi-equilibrium problem | Upper semicontinuity | Lower semicontinuity | C-convex | Hausdorff lower semicontinuity | C-lower semicontinuity | C-upper semicontinuity | Solution existence | Implicit generalized quasivariational inequality | THEOREM | VARIATIONAL INEQUALITY PROBLEM | MATHEMATICS | MAPPINGS | OPTIMIZATION | OPERATORS

Journal Article

TAIWANESE JOURNAL OF MATHEMATICS, ISSN 1027-5487, 04/2009, Volume 13, Issue 2B, pp. 757 - 775

In this paper we deal with the following generalized vector quasi-equilibrium problem: given a closed convex set K in a normed space X, a subset D in a...

Upper semicontinuity | Lower semicontinuity | THEOREM | VARIATIONAL INEQUALITY PROBLEM | MATHEMATICS | Generalized vector quasi-equilibrium problem | C-convex | Hausdorff lower semicontinuity | MAPPINGS | C-lower semicontinuity | OPTIMIZATION | C-upper semicontinuity | Solution existence | OPERATORS | Implicit generalized quasivariational inequality

Upper semicontinuity | Lower semicontinuity | THEOREM | VARIATIONAL INEQUALITY PROBLEM | MATHEMATICS | Generalized vector quasi-equilibrium problem | C-convex | Hausdorff lower semicontinuity | MAPPINGS | C-lower semicontinuity | OPTIMIZATION | C-upper semicontinuity | Solution existence | OPERATORS | Implicit generalized quasivariational inequality

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2010, Volume 73, Issue 10, pp. 3224 - 3231

In this paper, we extend new selection theorems for almost lower semicontinuous multifunctions on a paracompact topological space to general nonconvex...

[formula omitted]-metric space | Lower semicontinuous | Continuous selection | Almost lower semicontinuous | [formula omitted]-space | [formula omitted]-set | One-point extension property | [formula omitted]-approximate selection | Equicontinuous property [formula omitted] | LC-metric space | C-space | Equicontinuous property (ECP) | approximate selection | C-set | MATHEMATICS, APPLIED | MULTIFUNCTIONS | SPACES | SET-VALUED MAPPINGS | MATHEMATICS | ASSUMPTION | LOWER SEMICONTINUITY | epsilon-approximate selection | FIXED-POINTS | Covering | Nonlinearity | Theorems | Convexity

[formula omitted]-metric space | Lower semicontinuous | Continuous selection | Almost lower semicontinuous | [formula omitted]-space | [formula omitted]-set | One-point extension property | [formula omitted]-approximate selection | Equicontinuous property [formula omitted] | LC-metric space | C-space | Equicontinuous property (ECP) | approximate selection | C-set | MATHEMATICS, APPLIED | MULTIFUNCTIONS | SPACES | SET-VALUED MAPPINGS | MATHEMATICS | ASSUMPTION | LOWER SEMICONTINUITY | epsilon-approximate selection | FIXED-POINTS | Covering | Nonlinearity | Theorems | Convexity

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2005, Volume 61, Issue 1, pp. 1 - 19

Stampacchia and Minty type generalized implicit variational inequality problems are considered. We extended the notion of dense pseudomonotonicity for...

[formula omitted]-quasiconvexity | Segment-dense sets | Stampacchia (Minty) type implicit variational inequalities | Dense pseudomontonicity | Upper (lower) semicontinuity | quasiconvexity | upper (lower) semicontinuity | MATHEMATICS | MATHEMATICS, APPLIED | MINIMAX | segment-dense sets | THEOREM | dense pseudomontonicity | MAPPINGS | C-x-quasiconvexity

[formula omitted]-quasiconvexity | Segment-dense sets | Stampacchia (Minty) type implicit variational inequalities | Dense pseudomontonicity | Upper (lower) semicontinuity | quasiconvexity | upper (lower) semicontinuity | MATHEMATICS | MATHEMATICS, APPLIED | MINIMAX | segment-dense sets | THEOREM | dense pseudomontonicity | MAPPINGS | C-x-quasiconvexity

Journal Article

Taiwanese Journal of Mathematics, ISSN 1027-5487, 4/2012, Volume 16, Issue 2, pp. 429 - 444

In this paper, we study the existence of solutions for vector saddle points problems in a general setting. Our approach, first, is based on the KKM lemma and a...

Topological theorems | Mathematical theorems | Saddle points | Topological vector spaces | Mathematical vectors | Mathematical inequalities | Mathematical functions | Convexity | Vector valued functions | Topological spaces | C-quasiconvexity | C-lower semicontinuity | KKM lemma | Vector saddle point | Paracompacity | VARIATIONAL-INEQUALITIES | MATHEMATICS | SPACES | EQUILIBRIUM PROBLEMS | VALUED FUNCTIONS | MINIMAX THEOREM

Topological theorems | Mathematical theorems | Saddle points | Topological vector spaces | Mathematical vectors | Mathematical inequalities | Mathematical functions | Convexity | Vector valued functions | Topological spaces | C-quasiconvexity | C-lower semicontinuity | KKM lemma | Vector saddle point | Paracompacity | VARIATIONAL-INEQUALITIES | MATHEMATICS | SPACES | EQUILIBRIUM PROBLEMS | VALUED FUNCTIONS | MINIMAX THEOREM

Journal Article

15.
Full Text
Generalized abstract economy and systems of generalized vector quasi-equilibrium problems

Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2007, Volume 208, Issue 2, pp. 341 - 353

The present paper is in two-fold. The first fold is devoted to the existence theory of equilibria for generalized abstract economy with a lower semicontinuous...

Escaping sequence | Systems of mixed vector quasi-variational inequalities | Upper (lower) semicontinuity | [formula omitted]-quasi-convexity | Systems of generalized vector quasi-equilibrium problems | Debreu-type equilibrium problems | Generalized abstract economy | Concavity | C (x)-quasi-convexity | upper (lower) semicontinuity | EXISTENCE | MATHEMATICS, APPLIED | APPROXIMATION | SPACES | GAMES | MINIMAX INEQUALITIES | C(x)-quasi-convexity | CORRESPONDENCES | FIXED-POINT THEOREM | generalized abstract economy | escaping sequence | systems of generalized vector quasi-equilibrium problems | VARIATIONAL-INEQUALITIES | systems of mixed vector quasi-variational inequalities | MAXIMAL ELEMENTS | ORDERED PREFERENCES | concavity

Escaping sequence | Systems of mixed vector quasi-variational inequalities | Upper (lower) semicontinuity | [formula omitted]-quasi-convexity | Systems of generalized vector quasi-equilibrium problems | Debreu-type equilibrium problems | Generalized abstract economy | Concavity | C (x)-quasi-convexity | upper (lower) semicontinuity | EXISTENCE | MATHEMATICS, APPLIED | APPROXIMATION | SPACES | GAMES | MINIMAX INEQUALITIES | C(x)-quasi-convexity | CORRESPONDENCES | FIXED-POINT THEOREM | generalized abstract economy | escaping sequence | systems of generalized vector quasi-equilibrium problems | VARIATIONAL-INEQUALITIES | systems of mixed vector quasi-variational inequalities | MAXIMAL ELEMENTS | ORDERED PREFERENCES | concavity

Journal Article

New Trends in Mathematical Science, ISSN 2147-5520, 03/2020, Volume 1, Issue 7, pp. 79 - 89

In this work, we considered perurbed vector equilibrium problems involving set-valued monotone mapping and prove some existence results with and without...

Perturbed vector equilibrium problems | monotone mapping and KKM map | C- lower semicontinuity | self-segment-dense set

Perturbed vector equilibrium problems | monotone mapping and KKM map | C- lower semicontinuity | self-segment-dense set

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 2/2003, Volume 116, Issue 2, pp. 251 - 264

In this paper, we study a class of implicit vector variational inequalities which contain implicit variational inequalities and generalized quasivariational...

C-convexity | Implicit vector variational inequalities | lower semicontinuity | Calculus of Variations and Optimal Control | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | upper semicontinuity | C-upper semicontinuity | Optimization | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | implicit vector variational inequalities | MAPPINGS | EQUILIBRIUM PROBLEMS

C-convexity | Implicit vector variational inequalities | lower semicontinuity | Calculus of Variations and Optimal Control | Mathematics | Theory of Computation | Applications of Mathematics | Engineering, general | Operation Research/Decision Theory | upper semicontinuity | C-upper semicontinuity | Optimization | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | implicit vector variational inequalities | MAPPINGS | EQUILIBRIUM PROBLEMS

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2003, Volume 286, Issue 1, pp. 160 - 167

A continuous selection theorem for multifunctions, with nonempty Kuratowski-Painlevé lower limit, whose values are C-convex and L-convex subsets of C(S, ℝ )...

Lower semicontinuity | Continuous selections | Multifunction | Kuratowski–Painlevé lower limit | C-convex and L-convex sets | Decomposable sets | Kuratowski-Painlevé lower limit | Kuratowski-Painleve lower limit | MATHEMATICS | MATHEMATICS, APPLIED | continuous selections | lower semicontinuity | decomposable sets | multifunction

Lower semicontinuity | Continuous selections | Multifunction | Kuratowski–Painlevé lower limit | C-convex and L-convex sets | Decomposable sets | Kuratowski-Painlevé lower limit | Kuratowski-Painleve lower limit | MATHEMATICS | MATHEMATICS, APPLIED | continuous selections | lower semicontinuity | decomposable sets | multifunction

Journal Article

Optimization, ISSN 0233-1934, 01/1990, Volume 21, Issue 4, pp. 601 - 607

We device sufficient conditions under which the constraint set mapping corresponding to a certain class of mixed-integer nonlinear parametric optimization...

Secondary:49 A 50 | Primary:90 C 11 | parametric problems | Mixed-integer programming | lower semicontinuity | Parametric problems | Lower Semicontinuity

Secondary:49 A 50 | Primary:90 C 11 | parametric problems | Mixed-integer programming | lower semicontinuity | Parametric problems | Lower Semicontinuity

Journal Article

Fuzzy Sets and Systems, ISSN 0165-0114, 1992, Volume 50, Issue 1, pp. 113 - 117

The object of the paper is to present some new results on completely induced fuzzy topological spaces and completely semi-induced spaces earlier introduced by...

Completely lower semi continuity | structure C | structure A | completely semi-induced space | fuzzy continuity | α-cut | completely induced space | ALPHA-CUT | MATHEMATICS, APPLIED | STRUCTURE-C | COMPLETELY LOWER SEMICONTINUITY | COMPLETELY INDUCED SPACE | FUZZY CONTINUITY | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | STRUCTURE-A | COMPLETELY SEMIINDUCED SPACE

Completely lower semi continuity | structure C | structure A | completely semi-induced space | fuzzy continuity | α-cut | completely induced space | ALPHA-CUT | MATHEMATICS, APPLIED | STRUCTURE-C | COMPLETELY LOWER SEMICONTINUITY | COMPLETELY INDUCED SPACE | FUZZY CONTINUITY | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | STRUCTURE-A | COMPLETELY SEMIINDUCED SPACE

Journal Article

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