[PDF] Top 20 Split hierarchical variational inequality problems and fixed point problems for nonexpansive mappings

... 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 ... 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 ... See full document

... Much work has been done on the existence of common fixed points for a pair consisting of a single-valued and a multivalued mapping, see, for instance [–]. Let f be a bifunc- tion from C × C into R, such that f (x, x) = ... See full document

... a nonexpansive mapping and the set of solutions of a variational inequality problem for an α-inverse-strongly monotone mapping defined on a real Hilbert ... See full document

... the split feasibility problem (SFP) in finite- dimensional Hilbert spaces for modeling inverse problems which arise from phase re- trievals and in medical image reconstruction ...a point x ∗ with the ... See full document

... In this paper, we propose two strongly convergent algorithms for finding a solution of the problem (FPSCSEP). In the first algorithm, two projections on feasible set and a projected subgradient step followed by a proximal ... See full document

... well-known problems were variational problems, complementary problems, fixed point problems, saddle point problems and other problems proposed from the ... See full document

... of fixed point points of a nonexpansive ...of fixed points of a nonexpansive mapping which is the optimality condition for the minimization problem in a Hilbert ...common fixed ... See full document

... of problems which arise in economics, finance, image reconstruction, trans- portation, network and so on, appear as a special case of problem ...these problems or common solution of someone with others, for ... See full document

... of fixed points of a nonexpansive mapping in Hilbert ...common fixed points of nonexpansive mapping and obtained the weak convergence of the Mann type iterative ...common fixed points ... See full document

... of nonexpansive mappings, quasi-nonexpansive mappings, firmly nonexpansive mappings, demicontrac- tive mappings (see [1–6]), including the since recently popular viscosity ... See full document

... generalized variational inequali- ties are useful and important extension and generalizations of the variational inequalities with a wide range of applications in industry, mathematical finance, economics, ... See full document

... Also the monotone set-valued mapping B is said to be maximal if its graph G(B) = { (x, y) : y ∈ Bx} is not properly contained in the graph of any other monotone set-valued mappings. The following property of the ... See full document

... The goal of this paper is to introduce a split-type problem, by combining a split fixed point problem and a hierarchical variational inequality problem. The considered problem can ... See full document

... of fixed-points of T is denoted by the set FixT : {x ∈ C : Tx ...Given nonexpansive mapping V : C → C, consider the variational inequality for short, VI of finding hierarchically a ... See full document

... given fixed point problem, i.e., fixed points which solve a variational ...a fixed point of a nonexpansive semigroup S = {T(s)} s ≥ 0 with respect to another monotone ... See full document

... of variational inequality and the set of common fixed points of a countable family of nonexpansive mappings is introduced and ...common fixed point of a countable family ... See full document

... the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and ... 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

... 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 ... See full document