[PDF] Top 20 Hybrid steepest iterative algorithm for a hierarchical fixed point problem

... implicit iterative schemes for finding a common solution for the set of fixed points of a nonexpansive ...explicit iterative algorithm for finding the approximate solution of a VIP defined over the set ... See full document

... Firstly, Moudafi and Maingé [] introduced an implicit iterative algorithm to solve problem (.) and proved weak and strong convergence results, and after that, many itera- tive methods have been ... See full document

... The following theorem gives sufficient conditions for strong convergence of the prox- Tikhonov regularized hybrid steepest-descent algorithm 5.3 to a solution of Problem P. Theorem 5.4. Let X be ... See full document

... explicit iterative schemes for computing a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for an α-inverse-strongly monotone ... See full document

... an iterative algorithm for finding a common solution of a system of generalized equilibrium problems and a fixed point problem of strictly pseudo-contractive mapping in the setting of real ... 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

... the hierarchical fixed point problem ...the hierarchical fixed point problem; see Moudafi [], Mainge and Moudafi in [], Marino and Xu in [] and Cianciaruso et ...convergence ... See full document

... a hybrid steepest- descent method for solving the VIP (1) with C = Fix(T ...The problem of finding a point in VI(Fix(T ), A ) is called a hierarchical VIP or a hierarchical fixed ... See full document

... We now have a variety of techniques to suggest and analyze various iterative algorithms for solving variational inequalities and the related optimization problems; see [–]. The fixed-point theory has ... See full document

... an iterative algorithm by multi-step implicit hybrid steepest-descent method for finding a common element of the set of solutions of a finite family of generalized mixed equilibrium problems, ... See full document

... Mann-type hybrid steepest-descent iterative algorithm for finding a common element of the set of solutions of a general mixed equilibrium problem, the set of solutions of general system ... See full document

... projection algorithm and the hybrid steepest descent method and prove the strong convergence to a common element of the equilibrium problem; the null space of an inverse strongly monotone ... See full document

... an iterative method for finding a common solution of variational inequalities, a generalized mixed equilibrium problem, and a hierarchical fixed point problem in the setting of a real ... See full document

... 18. Yamada, I: The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings. In: Butnariu, D, Censor, Y, Reich, S ... See full document

... an iterative method for finding an element of the common set of solutions of ...inequality problem, equilibrium problem and a hierarchical fixed point ...fixed point problem ... See full document

... new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a ... See full document

... and iterative algorithms have been developed to resolve complex real world ...a fixed point constraint [2-4] include such practical problems as signal recovery [3], beamforming [5], and power control ... See full document

... an iterative method for finding the approximate el- ement of the common set of solutions of ...inequality problem, an equilibrium problem, and a hierarchical fixed point ...of ... See full document

... On the other hand, let F : H → H be a κ-Lipschitzian and η-strongly monotone operator with constants κ, η > 0, and let T : H → H be nonexpansive such that FixT / ∅. In 2001, Yamada 6 introduced the so-called ... See full document

... In what follows, we always assume that H is a real Hilbert space with the inner product h·, ·i and the norm k · k. Let C be a nonempty, closed and convex subset of H. Let S : C → C be a mapping. F (S) denoted by the ... See full document