[PDF] Top 20 Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems
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Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems
... is well known that the well-posedness is very important for both optimization theory and numerical methods of optimization problems, which guarantees that, for approximating solution ... See full document
14
The uniqueness and well-posedness of vector equilibrium problems with a representation theorem for the solution set
... and well-posedness results for vector equilibrium problems (for short, ...the generalized Hadamard well-posedness and generic Hadamard well-posedness ... See full document
13
The well posedness for a system of generalized quasi variational inclusion problems
... tion problems. In , Tykhonov [] first introduced the concept of well-posedness for a global minimizing problem, which has become known as Tykhonov ...after, Levitin-Polyak [] ... See full document
15
Well-posedness for parametric strong vector quasi-equilibrium problems with applications
... [28], vector equilibrium problems [29-31], parametric vector equilibrium pro- blems [32], vector quasi-equilibrium problems [33], generalized vector ... See full document
14
Existence and Hadamard well posedness of a system of simultaneous generalized vector quasi equilibrium problems
... contains vector equilibrium problems as special ...Hadamard well-posedness requires not only the existence and uniqueness of the optimal solution but also the continuous dependence of ... See full document
10
Well posed symmetric vector quasi equilibrium problems
... symmetric vector quasi-equilibrium problem (for short, SVQEP) which is a generalization of equilibrium problem proposed by Blum and Oettli [] and gave an existence theorem for a weak Pareto solution ... See full document
10
Well posedness for lexicographic vector quasiequilibrium problems with lexicographic equilibrium constraints
... the well-posedness for lexicographic vector equilibrium problems and optimization problems with lexicographic equilibrium constraints in metric ...such problems to ... See full document
24
Levitin Polyak Well Posedness for Equilibrium Problems with Functional Constraints
... of Levitin-Polyak well-posedness for convex scalar optimization problems with functional constraints started by Konsulova and Revalski ...Yang generalized those results to ... See full document
14
Well posed generalized vector equilibrium problems
... for generalized vector equilibrium problems by using a nonlinear scalarization ...new well-posedness concept for generalized vector equilibrium ... See full document
12
Several types of well-posedness for generalized vector quasi-equilibrium problems with their relations
... many problems as special cases, for example, optimization problems, fixed-point problems, variational inequality problems, complementary problems and Nash ...these problems can be ... See full document
22
On the Well Posedness for Optimization Problems: A Theoretical Investigation
... Tykhonov well-posedness and on Hadamard well-posedness and on their relations are ...of well-posedness are investigate (in case in which there is not uniqueness of solutions) and ... See full document
20
Well posedness for parametric generalized vector quasivariational inequality problems of the Minty type
... of well-posedness for unconstrained scalar optimization problems was first introduced and studied by Tykhonov [], which has become known as Tykhonov well- ..., Levitin and ... See full document
16
Well posedness for generalized \((\eta ,g,\varphi )\) mixed vector variational type inequality and optimization problems
... programming problems under mild conditions, consequently the concept of Tykhonov well-posedness has also been generalized to variational inequalities [7–12] and equilibrium ... See full document
16
Levitin Polyak well posedness for generalized semi infinite multiobjective programming problems
... Remark . It is worth mentioning that the compactness assumption of S cannot be dropped in the above theorem. Let us consider Example .. Clearly, S = () = [, + ∞ ) is not compact and for any ρ > , V = (–ρ, +∞) ... See full document
13
Levitin-Polyak Well-Posedness in Vector Quasivariational Inequality Problems with Functional Constraints
... In Tikhonov’s well posedness, the approximating solution is always feasible. However, it should be noted that many algorithms in optimization and variational inequalities, such as penalty-type methods and ... See full document
16
On Generalized Implicit Vector Equilibrium Problems in Topological Ordered Spaces
... Let X be a topological semilattice, K ⊂ X a nonempty Δ-convex subset, Y a Hausdorff topological vector space. Assume that A : K → 2 K , g : K → 2 K , f : K × K → 2 Y , and C : K → 2 Y such that, for any x ∈ K, Cx ... See full document
9
On the well-posedness of generalized Darcy–Forchheimer equation
... The applications of nonlinear differential equations are seen in many fields (see [1–4]). In the field of fluid dynamics, the nonlinear correction to Darcy’s law has been an active area of research for many years. ... See full document
17
Generalized strong vector quasi equilibrium problems with variable ordering structure
... several well-known concepts and mathematical tools are ...for equilibrium mapping, existence results of solutions and closedness of solution sets are obtained for two kinds of ... See full document
17
The system of generalized set valued equilibrium problems
... The (SEP) was studied by Ansari et al. [2], Ansari and Yao [6], Konnov and Yao [22], Lin et al. [23], Oettli and Schlager [26], and the (SEP) contains the vector equilibrium problem in [10, 13, 19, 23, 25, ... See full document
9
Existence of solutions for generalized vector quasi-equilibrium problems in abstract convex spaces with applications
... of generalized vector quasi- equilibrium problems in abstract convex spaces with applications to generalized semi- infinite ...these generalized vector ... See full document
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