Split variational inequality problems
Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces
... In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple–sets split variational inequality problems. The sequence of the proposed ...
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Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space
... solves split variational inequality problem, and Korpelevich’s extragradient method, which solves variational inequality ...of split variational inequality ...
17
Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications
... In this paper, we establish a new iterative algorithm by combining Nadezhkina and Taka- hashi’s modified extragradient method and Xu’s algorithm. The mentioned iterative algo- rithm presents the common solution of the ...
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An iterative method for split hierarchical monotone variational inclusions
... a split hierarchical monotone variational inclusion problem (SHMVIP) which includes split variational inequality problems, split monotone variational inclusion ...
10
System of Split General Variational Inequality Problems in Semi inner Product Spaces
... of split general variational inequality problems which is a natural extension of system of split variational inequality problems and split variational ...
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Split hierarchical variational inequality problems and related problems
... a split problem, called the split hierar- chical Minty variational inequality ...the split hierarchical variational inequality ...related problems, where we can ...
14
Strong convergence theorem for split monotone variational inclusion with constraints of variational inequalities and fixed point problems
... that variational inequality, as a greatly important tool, has already been stud- ied for a wide class of unilateral, obstacle, and equilibrium problems arising in several branches of pure and applied ...
29
Simultaneous extragradient iterative method to a split equality variational inequality problem and a multiple-sets split equality fixed point problem for multi-valued demicontractive mappings
... Evidently, the class of multi-valued demicontractive mappings properly includes the class of multi-valued quasi-nonexpansive mappings. The class of demicontractive mappings is impor- tant because several common types of ...
24
General viscosity approximation methods for quasi nonexpansive mappings with applications
... variational inequality. Then this result is used to study the split equality fixed point problems, the split equality common fixed point problems, the split equality null ...
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Variational inequality problems over split fixed point sets of strict pseudo-nonspreading mappings and quasi-nonexpansive mappings with applications
... a variational inequality problem over split fixed point sets of a finite family of strict pseudo-nonspreading mappings and a countable family of quasi- nonexpansive ...of split fixed point sets ...
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Parallel hybrid viscosity method for fixed point problems, variational inequality problems and split generalized equilibrium problems
... of split generalized equilibrium problems, variational inequality problems and the set of common fixed points of a finite family of demicontractive operators in Hilbert ...
25
Split hierarchical variational inequality problems and fixed point problems for nonexpansive mappings
... In this paper, we give a common solution method for finding a fixed point of a nonex- pansive operator and a solution of split hierarchical variational inequality problems. The weak convergence ...
16
Affine algorithms for the split variational inequality and equilibrium problems
... The variational inequality problem [–] and equilibrium problem [–], which include the fixed point problems and optimization problems [–], have been studied by many ...the ...
15
Strong convergence theorems for solutions of fixed point and variational inequality problems
... the problems of finding a common element in the set of solution of variational inequalities for an inverse-strongly monotone mapping and in the set of fixed points of nonexpansive mappings or strict ...
11
Strong convergence theorems for fixed point problems, variational inequality problems, and equilibrium problems
... Equilibrium problems theory provides us a natural, novel and unified framework to study a wide class of problems arising in economics, finance, transportation, network and struc- tural analysis, elasticity ...
15
The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces
... of variational inequalities, where A, B : C → H are two nonlinear mappings, λ > and μ > are two ...of variational inequality problem ...
12
Variational inequality problems in H spaces
... Variational inequality theory has become a rich source of inspiration in pure and applied ...classical variational inequality problem has been extended to study a wide class of problems ...
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A Classes of Variational Inequality Problems Involving Multivalued Mappings
... of Variational inequalities using fixed point theorems for multivalued and using Banach contraction theorem we prove the existence of a unique solution of multi value Variational inequality problem ...
6
An Iterative Method for Generalized Equilibrium Problems, Fixed Point Problems and Variational Inequality Problems
... In 1997, Fl˚am and Antipin 9 introduced an iterative scheme of finding the best approximation to initial data when EPΦ is nonempty and proved a strong convergence theorem. In 2003, Iusem and Sosa 10 presented some ...
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A Variational Inequality Approach to a Class of Environmental Equilibrium Problems
... this variational inequality admits a unique solution e R , (since F r is strictly monotone), which is the norma ed Rosen ui- librium corresponding to the given ...the variational in- equality ...
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