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[PDF] Top 20 On the existence and stability of solutions of a mixed general type of variational relation problems

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On the existence and stability of solutions of a mixed general type of variational relation problems

On the existence and stability of solutions of a mixed general type of variational relation problems

... Suppose the existence of v ∈ T (x, y) and z ∈ P(x, y) such that Q(v, x, z) does not hold, then (x, v, z) / ∈ Gr(Q). Similarly, T n (x n , y n ) → T(x, y) and P n (x n , y n ) → P(x, y). Thus, there exist two ... See full document

10

On existence and essential stability of solutions of symmetric variational relation problems

On existence and essential stability of solutions of symmetric variational relation problems

... equilibrium problems are unified models of several prob- lems, namely, optimization problems, saddle point problems, variational inequalities, fixed point problems, Nash equilibrium ... See full document

13

Some generalizations of common fixed point problems with applications

Some generalizations of common fixed point problems with applications

... equilibrium problems are unified models of several prob- lems, namely, optimization problems, saddle point problems, variational inequalities, fixed point problems, Nash equilibrium ... See full document

11

Variational relation problems: existence of solutions and fixed points of contraction mappings

Variational relation problems: existence of solutions and fixed points of contraction mappings

... The variational relation problem was introduced in [] and studied in a number of recent works ...of problems of applied mathematics including optimization problems, variational ... See full document

10

Existence and approximation of solutions for system of generalized mixed variational inequalities

Existence and approximation of solutions for system of generalized mixed variational inequalities

... of variational inequalities, projection methods and its variant form has played an important ...solving mixed variational ...the mixed variational inequalities is a proper, convex and ... See full document

15

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

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

... vector variational in- equality problems for a fixed ...the existence of solutions of these problems under different kinds of pseudomonotonicity and hemicontinuity ...these ... See full document

8

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

... of problems arising in pure and applied sciences including elas- ticity, optimization, economics, transportation, and structural analysis, see, for exam- ple, [1–8, 10–37] and the references ...classical ... See full document

15

Continuity of solutions for parametric generalized quasi-variational relation problems

Continuity of solutions for parametric generalized quasi-variational relation problems

... Stability properties of solution sets for parametric generalized quasi-variational rela- tion problem is an important topic in optimization theory and applications. Recently, the continuity, especially the ... See full document

10

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

... vector variational-like inequality problem in Banach ...generalized variational-like inequalities with generalized α -monotone multifunctions stud- ied by Ceng et ...real-life problems, for example, ... See full document

20

Algorithm for Solving a Generalized Mixed Equilibrium Problem with Perturbation in a Banach Space

Algorithm for Solving a Generalized Mixed Equilibrium Problem with Perturbation in a Banach Space

... important problems in the theory of variational inequalities is the development of an efficient iterative algorithm to compute approximate ...for general mixed type variational ... See full document

22

Perturbed Ishikawa-hybrid quasi-proximal point algorithm with accretive mappings for a fuzzy system

Perturbed Ishikawa-hybrid quasi-proximal point algorithm with accretive mappings for a fuzzy system

... the variational inclusion (inequality) is an important context in the set-valued inclusions prob- ...and general technique to study a wide class of problems arising in different branches of ... See full document

16

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 ... See full document

13

General iterative algorithms for mixed equilibrium problems, variational inequalities and fixed point problems

General iterative algorithms for mixed equilibrium problems, variational inequalities and fixed point problems

... equilibrium problems. It is now well known that the variational inequalities are equivalent to the fixed point problems, the origin of which can be traced back to Lions and Stampacchia ...the ... See full document

25

Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

... 5 J.-L. Lions, “On some questions in boundary value problems of mathematical physics,” in Contemporary Developments in Continuum Mechanics and Partial Differential Equations, vol. 30 of North- Holland Mathematics ... See full document

13

Iterative methods for constrained convex minimization problem in Hilbert spaces

Iterative methods for constrained convex minimization problem in Hilbert spaces

... In this paper, based on Yamada’s hybrid steepest descent method, a general iterative method is proposed for solving constrained convex minimization problem. It is proved that the sequences generated by proposed ... See full document

18

Variational inequalities on Hilbert $C^*$-modules

Variational inequalities on Hilbert $C^*$-modules

... some existence theorems for variational inequalities on Hilbert C ∗ ...Also relation between variational inequalities, C ∗ - valued metric projection and fixed point theory is ... See full document

11

Application of Fundamental Lemma of Variational Calculus to the Problem for the Brachistochrone

Application of Fundamental Lemma of Variational Calculus to the Problem for the Brachistochrone

... Variational calculus studied methods for finding maximum and minimum values of ...analysis variational calculus takes the same space, as well as theory of maxima and minimum intensity in the classic ... See full document

7

The Existence of Maximum and Minimum Solutions to General Variational Inequalities in the Hilbert Lattices

The Existence of Maximum and Minimum Solutions to General Variational Inequalities in the Hilbert Lattices

... Next, we consider a special type of mappings which has been used by number of authors in the fields of variational inequality theory and complementarity theory see 4–6. Let C be a closed convex -sublattice ... See full document

19

On the hierarchical variational inclusion problems in Hilbert spaces

On the hierarchical variational inclusion problems in Hilbert spaces

... the existence and approximation problem of solutions for a class of hierarchical variational inclusion problems in the setting of Hilbert ...programming problems and quadratic ... See full document

16

A General Iterative Method of Fixed Points for Mixed Equilibrium Problems and Variational Inclusion Problems

A General Iterative Method of Fixed Points for Mixed Equilibrium Problems and Variational Inclusion Problems

... of solutions for mixed equilibrium problems, the set of solutions of the variational inclusions with set-valued maximal monotone mappings and inverse-strongly monotone mappings, and the ... See full document

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