[PDF] Top 20 Split hierarchical variational inequality problems and related problems

... the problems (.) and (.) are nothing but hierarchical Minty variational inequality ...the split fixed point problem ...existing split-type problems, which we will ... See full document

... of split variational inequality problems under weaker condi- tions and get a weak convergence ...solve related problems in nonlinear analysis and ... See full document

... of split general variational inequality problems( SS P VIP (1)-(4)) employing the retraction technique, we propose an iterative algorithm with errors for computing the approximate solution of ... See full document

... In nonlinear analysis, a common approach to solving a problem with multiple solutions is to replace it by a family of perturbed problems admitting a unique solution and to obtain a particular solution as the limit ... See full document

... 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 ... See full document

... An explicit algorithm is introduced to solve the monotone variational inequality over a triple hierarchical problem. The strong convergence for the proposed algorithm to the solution is guaranteed ... See full document

... There are a substantial number of numerical methods including projection technique and its variant forms, Wiener-Hopf equations, the auxiliary principle technique, and re- solvent equations methods for solving ... See full document

... iterative scheme by the viscosity approximation method for finding a common element of the set of an equilibrium problem and the set of fixed points of a nonexpansive mapping in Hilbert spaces. They also proved a strong ... See full document

... Many problems in mathematics, for example in physical sciences, in engineering and in real-world applications of various technological innovations can be modeled as ... See full document

... EP F, B , where A , B are two monotone operators and EP F, B is the solution of the equilibrium problem of finding z ∈ C such that Fz, y Bz, y − z ≥ 0, for all y ∈ C. We note that the problem HEVP includes some ... See full document

... In this paper, we establish a new iterative algorithm by combining Nadezhkina and Takahashi’s modified extragradient method and Xu’s algorithm. The mentioned iterative algorithm presents the common solution of the ... See full document

... considered split variational inequality problem [], split common null point problem and Moudafi’s split feasibility problem, and derived the algorithm for these prob- lems from the ... See full document

... The variational inequality problem [–] and equilibrium problem [–], which include the fixed point problems and optimization problems [–], have been studied by many ...the ... See full document

... a variational inequality problem which is defined over the set of intersections of the set of fixed points of a ζ -strictly pseudocontractive mapping, the set of fixed points of a nonexpansive mapping and the ... See full document

... a split hierarchical monotone variational inclusion problem (SHMVIP) which includes split variational inequality problems, split monotone variational ... See full document

... above related results in this field, in this paper, we first propose a new parallel hybrid viscosity method for finding a common element of the set of solutions of a finite family of split generalized ... See full document

... Stampacchia variational inequality (), minimization problems, general nonlinear inclusions, and fixed point ...of variational inequalities is playing an increasingly central role in the study ... See full document

... To overcome this drawback, inspired by the method studied by Yamada et al. [, ], Maingé [] and Kraikaew et al. [], we investigate a more general variant of the scheme proposed by Maingé [], Kraikaew et al. [] ... See full document

... semi-infinite variational inequality problem SIVI(X, F ) can be approached by different solution techniques based on projection methods, merit functions and necessary and sufficient first-order ...infinite ... See full document

... Equilibrium problems have been extensively studied in recent years, the origin of which can be traced back to Takahashi [, Lemma ], Blum and Oettli [], and Noor and Oettli ...equilibrium problems provide ... See full document