[PDF] Top 20 A new iterative algorithm for split solution problems of quasi nonexpansive mappings

... the split feasibility problem and the convex feasibility problem are useful to some areas of applied mathematics such as image recovery, convex optimization, and so ...the split common fixed point problem ... See full document

... relatively quasi-nonexpansive mappings contains the class of relatively nonexpansive ...relatively quasi-nonexpansive mappings see, ...relatively ... See full document

... which allows asymmetric and partial relations between the variables x and y. The interest is to cover many situations, for instance, in decomposition methods for PDEs, applica- tions in game theory and in ... See full document

... a new iterative scheme and to get a strong convergence theorem for a countable family of relatively quasi-nonexpansive mappings and a system of equilibrium problems in a ... See full document

... Both split feasibility and convex feasibility problems are much related to a number of real- world applications, for example, signal processing, intensity-modulated radiation therapy, and image ... See full document

... block iterative method is a method which often used by many authors to solve the convex feasibility problem (see, [37,38], ...block iterative methods for a finite family of relatively nonexpansive ... See full document

... an algorithm for finding the solutions of the general split equality fixed point problem and general split equality problem in a Hilbert ...a solution of GSEFP and ...the split ... See full document

... Equilibrium problems which were introduced by Blum and Oettli [] have intensively been ...equilibrium problems cover fixed point problems, varia- tional inequality problems, inclusion ... See full document

... a new scheme for finding an element in the common fixed point set of finite family of closed relatively quasi-nonexpansive mappings, common solutions set of finite family of equilibrium ... See full document

... a new iterative scheme for finding a common element of infinitely nonexpansive mappings, the set of solutions of a mixed equilibrium problems, and the set of solutions of the ... See full document

... projection algorithm for a common solution of a family of generalized asymptotically quasi-φ -nonexpansive mappings and generalized mixed equi- librium ... See full document

... On the other hand, many researchers have been proposed numerical algorithms for find- ing a common element of the set of solutions of monotone equilibrium problems and the set of fixed points of nonexpansive ... See full document

... Next, we give a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem, the set of solutions of a variational inclusion and the set of common fixed points of a finite ... 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

... consider split equality fixed point problem (.) for the class of quasi-pseudo-contractive mappings which is more general than the classes of quasi-nonexpansive mappings, ... See full document

... a new class of generalized asymptotically nonexpansive mapping and gave a necessary and sufficient condition for the modi- fied Ishikawa and Mann iterative sequences to converge to fixed points for ... See full document

... CQ algorithm and its conver- gence. He applied Mann’s algorithm to the SFP and proposed an averaged CQ algorithm, which was proved to be weakly convergent to a solution of the ...of ... See full document

... an algorithm for solving the split feasibility problems for total quasi-asymptotically nonexpansive mappings in infinite-dimensional Hilbert ...[Inverse Problems 26:105018, ... See full document

... nor quasi-nonexpansive. The proof is completed. 3 New feasible iterative algorithms for SCSP and strong convergence theorems In this section, we establish some new strong convergence ... See full document

... asymptotically nonexpansive mapping, which is closely related to the theory of fixed points in Banach spaces, is introduced by Goebel and Kirk ...asymptotically nonexpansive mapping of a nonempty closed ... See full document