[PDF] Top 20 Strong convergence theorems for fixed point problems of infinite family of asymptotically quasi-ϕ-nonexpansive mappings and a system of equilibrium problems

... proved strong convergence theorems for approximation of com- mon fixed points of countably infinite family of asymptotically quasi-φ-nonexpansive mappings in a ... See full document

... the equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space H and proved a strong convergence theorem which is connected with Combettes and ... See full document

... the fixed point set of an asymptotically quasi- j -nonexpansive mapping and in the solution set of an equilibrium ...problem. Strong convergence theorems of ... See full document

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

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

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

... mixed equilibrium problems with a relaxed η-α-monotone mapping and a nonlin- ear operator equation involving an infinite family of asymptotically quasi-φ-nonexpansive ... 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 ... See full document

... than equilibrium problem (1.2) and cover monotone inclusion problems, saddle point problems, variational inequality pro- blems, minimization problems, vector equilibrium ... See full document

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

... JK: Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi- φ ... 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

... fixed point problems, and zero point problems have been investigated by many authors based on iterative methods; see, for example, [–] and the references ...zero point ... See full document

... Huang, Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces, J.. Zhou, Approximate p[r] ... See full document

... fixed point of an infinite family of quasi- φ -asymptotically nonexpansive mappings in the intermediate sense in Banach ...a strong convergence theorem of the ... 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 spaces and ... See full document

... C (x) ⇐⇒ x − x ∗ , x ∗ − y ≥ 0 ∀ y ∈ C. (2.1) Recall that a mapping T : C → H is called nonexpansive if Tx − T y ≤ x − y for all x, y ∈ C. Denote the set of fixed points of T by F(T). It is well known that ... See full document

... Lemma 1.3. Let C be a nonempty closed convex subset of a real Hilbert space H and let P C be the metric projection from H onto C(i.e., for x ∈ H, P C x is the only point in C such that kx − P C xk = inf{kx − zk : ... See full document

... of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [] in ...every asymptotically nonexpansive self-mapping T on C has a fixed ...fixed point set of T is ... See full document