[PDF] Top 20 Strong Convergence Theorems for an Infinite Family of Equilibrium Problems and Fixed Point Problems for an Infinite Family of Asymptotically Strict Pseudocontractions

... 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 Hirstoaga’s ... See full document

... infinite family of asymptotically quasi- φ -nonexpansive mappings and of the set of solutions for finite equilibrium problems in a real Banach ...in Fixed Point Theory ...in ... See full document

... an infinite family of equilibrium problems and the set of fixed points of a finite family of nonexpansive mappings in a Hilbert ...some strong convergence ... See full document

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

... an equilibrium problem and a fixed point problem of an asymptotically strict pseudocontraction are investigated based on hybrid iterative ...algorithms. Strong convergence ... See full document

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

... Some attempts to modify the Mann iteration method so that strong convergence is guaranteed have recently been made. In 2003, Nakajo and Takahashi 14 proposed the following modification of the Mann iteration ... See full document

... of equilibrium problems and fixed points of infinite family of nonexpansive mappings,” Nonlinear Analysis: Theory, Methods & Applications, ... See full document

... where T is some mapping. The Picard iterative algorithm is a beautiful tool in the study of contractions. A well-known result is the Banach contraction principle. The class of nonex- pansive mappings as a class of ... See full document

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

... space H . Consider the problem of finding a common element of the set of fixed point of these mappings and the set of solutions of an equilibrium problem with the parallel and cyclic algorithms. In ... See full document

... ing fixed points of an infinite family of strict pseudocontractions mapping in the framework of q-uniformly smooth Banach ...the strong convergence theorem of the proposed ... See full document

... of fixed points for nonexpansive mappings and asymptotically strict pseudo- contractions via Mann ’ iteration algorithm has been extensively investigated by many authors (see, ... See full document

... of fixed points of infinite nonexpansive mappings in a Hilbert ...a strong convergence theorem which improves and extends the corresponding results of [2, ... See full document

... [], problems arise in infinite dimensional spaces. In such problems, strong convergence is often much more desirable than weak convergence, for it translates the physically tangible ... See full document

... Lemma . [] Let E be a real reflexive Banach space with the uniformly Gâteaux differ- entiable norm and the normal structure, and let C be a nonempty closed convex subset of E. Let f : C → C be α-contractive mapping and ... See full document

... The purpose of this article is to introduce the concept of total quasi-φ -asymptotically nonexpansive semigroups; to modify the Halpern and Mann-type iteration algorithm [, ] for total ... 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

... imal point algorithm; for more detail, see [] and the references therein. Regularization methods recently have been investigated for treating zero points of monotone operators; for [–] and the references ... See full document