[PDF] Top 20 Iterative methods for triple hierarchical variational inequalities and common fixed point problems

... new iterative scheme for approximating the solution of a triple hierarchical variational inequality ...proposed iterative scheme for the considered triple hierarchical ... See full document

... a common fixed point of a sequence of nearly nonexpansive self-mappings defined on a closed convex subset of a real Hilbert space which is also a solution of some particular variational inequality ... See full document

... the variational inclusion ...complementarity problems, variational in- equalities, optimal control, mathematical economics, equilibria and game theory, ... See full document

... Iterative methods for nonexpansive mappings and equilibrium problems have been applied to solve convex minimization problems see ...the fixed points of a nonexpansive mapping on a real ... See full document

... fixed point problems, optimization problems, variational inequality problems, minimax problems, Nash equilibrium problems in noncooperative games and others; see, ... See full document

... Recently, Plubtieng and Punpaeng [] and Ceng et al. [, ] considered some iterative methods for VIP (.) and its extended versions and got some strong convergence theo- rems. As a generalization of ... See full document

... some common fixed point of an infinite family of nonexpansive mappings and prove the strong convergence theorems for solving some variational inequality problems and hierarchical fixed ... See full document

... monotone variational inequalities and convex programming prob- lems; see ...Various methods have been proposed to solve HFPP ...following iterative algorithm to solve HFPP ... See full document

... of variational inequalities represents, in fact, a very natural generalization of the theory of boundary value problems and allows us to consider new problems arising from many fields of ... See full document

... Some methods have been proposed to solve the equilibrium problem; see, for instance, 23–30 and the references ...Mann iterative scheme by the viscosity approximation method for finding a common ... See full document

... equilibrium problems, system of variational inequality problems, and fixed point problems by using S-mapping generated by a finite family of nonexpansive mappings and real ...a ... See full document

... inequality problems, inclusion problems, saddle point problems, complemen- tarity problem, minimization problem, and Nash equilibrium ...of problems which arise in economics, finance, ... See full document

... approximation methods and Mann iteration ...the common solution set of the VIP and CFPP, which solves a certain hierarchical VIP defined on this common solution ... See full document

... implicit hierarchical fixed point approach to variational inequalities,” Bulletin of the Australian Mathematical Society, ...an iterative method for hierarchical ... See full document

... split common fixed point problem (SCFPP) which is to find a common element of a family of operators in one space such that its image under a linear transfor- mation is a common fixed point ... See full document

... converges strongly to a fixed point x ∗ of T, also the solution of a variational inequality. As a special case, this projection method solves some quadratic minimization problem. The results here improve and ... See full document

... where U is a Lipschitzian mapping, and F is a Lipschitzian and strongly monotone map- ping. They proved that under some assumptions as regards approximations on the oper- ators and parameters, the sequence generated by ... See full document

... A common method in solving ill-posed problems is to substitute the original problem by a family of well-posed ...solve hierarchical fixed point problems under different conditions ... See full document

... for hierarchical fixed point problems and variational inequalities, ...Liou, Iterative algorithms for hierarchical fixed points problems and ... See full document

... paper, fixed point problems of nonexpansive mappings and solution problems of generalized variational inequalities are investigated based on a viscosity approximate ... See full document