[PDF] Top 20 Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces

... a generalized mixed equilibrium problem and the fixed points set of an infinitely countable family of nonexpansive mappings in the framework of Banach ... See full document

... real Banach space and let C be a nonempty closed convex subset of ...called nonexpansive if T x − T y ≤ x − y for all x,y ∈ ...λ-firmly nonexpansive if there exists λ ∈ (0,1) such ... See full document

... product spaces, R -trees (see, for example, []), Euclidean building (see, for example, []), and the complex Hilbert ball with a hyperbolic metric (see, for example, ...other spaces and on the ... See full document

... a fixed point theorem for the selfmaps of a closed convex and bounded subset of the Banach space satisfying a generalized nonexpansive type ...of fixed points with Krasnoselskii ... See full document

... of fixed points of relatively nonexpansive mapping and the set of solution of an equilibrium problem in a Banach ...-asymptotically nonexpansive nonself mappings and ... See full document

... for approximating fixed points of nonexpansive mappings and their generalizations (asymptotically nonexpansive mappings, ... See full document

... for approximating fixed points of nonexpansive mappings in Banach spaces have been studied by various authors using the Mann iteration processes or the Ishikawa ietration ... See full document

... Equilibrium problems theory provides us with a unified, natural, innovative, and general framework to study a wide class of problems arising in finance, economics, network analysis, transportation, ... See full document

... of fixed points of a relatively nonexpansive mapping and the set of solution of an equilibrium problem in a Banach ...an equilibrium problem and the set of fixed ... See full document

... In this works, by using the modified viscosity approximation method asso- ciated with Meir-Keeler contractions, we proved the convergence theorem for solving the fixed point problem of a nonexpansive ... 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

... In 2010, Laowang and Panyanak [1] studied an iterative scheme and proved the follow- ing result: let K be a nonempty closed convex subset of a complete CAT(0) space X, (the initials of term “ CAT ” are in honor of E. ... See full document

... Pre-Hilbert spaces, R-trees see 1, Euclidean buildings see 2, the complex Hilbert ball with a hyperbolic metric see 3, and many ...these spaces and of the fundamental role they play in geometry see Bridson ... See full document

... of Banach limits, we discuss the characterization of fixed points of non- expansive mappings in Banach ...of fixed points of a nonexpansive mapping and some mapping ... See full document

... exists for each x, y in its unit sphere U = { x ∈ E : x = 1 } . It is said to be uniformly Gˆateaux differentiable if, for each y ∈ U, this limit is attained uniformly for x ∈ U. Fi- nally, the norm is said to be ... See full document

... fixed points of continuous κ -strongly pseu- docontractive mappings in Banach spaces; see [] for more ...pseudocontractive mappings is independent of the class of κ-strictly ... See full document

... interest, and it cannot be usually solved directly. Therefore, an iterative algorithm must be used to approximate such point. The well-known convex feasibility problem, which cap- tures applications in various ... See full document

... a Banach space. In this paper, we consider, in the framework of Banach spaces, the problem of mod- ifying the Halpern iteration by hybrid projection algorithms such that strong convergence is ... See full document

... common fixed points of a family of generalized asymptotically quasi- j -nonexpansive mappings are established in the framework of Banach ... See full document

... -asymptotically nonexpansive mappings in the intermediate sense in a reflective, strictly convex and smooth Banach space such that both E and E ∗ have the Kadec-Klee ... See full document