[PDF] Top 20 Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings

... Theorem 2.1 . Let E be a uniformly smooth and strictly convex Banach space which has the Kadec-Klee property and C a nonempty closed convex subset of E. Let f be a bifunction from C × C to ℝ satisfying (A1)-(A4) and T : ... See full document

... following hybrid iterative scheme for approximating a com- mon element of the set of fixed points of relatively quasi-nonexpansive mappings and the set of solutions to an equilibrium ... See full document

... a projection algorithm. Strong convergence theorems for common solutions of a system of equilibrium problems and a family of asymptotically quasi- φ ... See full document

... the convergence of iterative algo- rithms for quasi-φ-asymptotically nonexpansive (see [–]) and total quasi-φ-asymptoti- cally nonexpansive (see [–]) ...new hybrid ... See full document

... JK: Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically ... See full document

... JK: Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically ... See full document

... a strong convergence theorem; for more details, see [] and the references ...the projection algorithm for treating solutions of the equilibrium problem and fixed points of generalized ... See full document

... that equilibrium problems and mixed equilibrium problems have been important tools for solving problems arising in the fields of linear or nonlinear program- ming, complementary ... See full document

... the hybrid projection method is constructed. Strong convergence of the iterative process to a common element of the set of common fixed points of a finite family of generalized ... See full document

... the hybrid methods, for equilibrium and fixed point problems for an infinite family of asymptotically nonexpansive mappings in a Hilbert ...an ... See full document

... optimization problems, economics and ...iterative methods has been at- tracting many authors’ ...iterative methods, the most popular method is the Mann iterative method which was introduced by Mann ... See full document

... common fixed points of a finite family of closed generalized quasi- j - asymptotically nonexpansive mappings and the set of solutions of equilibrium problem in Banach ...the ... See full document

... fixed point problem of a finite family of asymptotically quasi- φ -nonexpansive mappings in the intermediate sense and an equilibrium ...problem. Strong convergence ... See full document

... block hybrid projection algorithm for finding a common ele- ment of the set of the variational inequality for an a-inverse-strongly monotone opera- tor, the set of solutions of the generalized ... See full document

... fixed point problems of a (relatively) nonexpan- sive mapping based on hybrid projection methods; for more details, see [–] and the references ...strong convergence. In ... See full document

... of nonexpansive mappings (asymptot- ically nonexpansive mappings) and of common fixed points of nonexpansive semi-groups (asymptotically nonexpansive semigroups) is an ... See full document

... As we all know that if C is a nonempty closed convex subset of a Hilbert space H and P C : H → C is the metric projection of H onto C, then P C is nonexpansive. This fact actually characterizes Hilbert ... See full document

... Equilibrium problems have been revealed as a very powerful and important tool in the study of nonlinear ...mization problems, differential equations, and minimax theorems and in certain ... See full document

... new hybrid iterative scheme for finding a common element of the set of common fixed points of asymptoti- cally nonexpansive mappings and the set of solutions of an equilibrium problem in Hilbert ... See full document

... numerical methods for treating solution problems of monotone variational ...optimization problems and has extensively been studied; see [–] and the references ...feasibility problems which ... See full document