[PDF] Top 20 Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces

... closed convex subset of a uni- formly convex Banach space X, then every nonexpansive mapping T : C → C has a fixed point (see ...the Ishikawa it- eration sequence with errors ... See full document

... closed convex subset of a Banach space X and T : C → C be a nonexpansive mapping ...an Ishikawa iteration sequence with errors as follows: for any given x 0 ∈ ... See full document

... asymptotic nonexpansive mapping have been extensively studied in fixed point theory since the publication of the fundamental paper ...asymptotic nonexpansive mapping in uniformly convex ... See full document

... a nonexpansive mapping T which maps a closed bounded convex subset C of a uniformly convex Banach space into itself has a fixed point in ...and Ishikawa iteration methods ... See full document

... asymptotically nonexpansive and asymptotically quasi- nonexpansive mappings in uniformly convex Banach spaces using modified Mannn and Ishikawa iteration ... See full document

... CAT(κ) spaces was first studied by Kirk [, ...CAT() spaces immediately apply to any CAT(κ) space with κ ≤ ...CAT(κ) spaces (with appropriate sizes) are uniformly convex metric ... See full document

... 9. Banach, S: Sur les opérations dans les ensembles abstraits et leurs ...WA: Iteration processes for nonexpansive ...to Banach Spaces and Their ...normed spaces. Can. Math. ... See full document

... Mann process (see e.g. [9,10]) or the Ishikawa proc- ess (see ...asymptotic nonexpansive maps in Hilbert, Banach and metric spaces, see ...Mann iteration process to a ... See full document

... and convex subset of a uniformly convex Banach space has been recently established by Aoyama and Kohsaka with a non-constructive ...appropriate Ishikawa iterate algorithms ensure weak ... See full document

... Keywords: generalized Lipschitz mapping; -hemi-contractive mapping; Ishikawa iterative sequence with errors; uniformly smooth real Banach space.. 1 Introduction and preliminary.[r] ... See full document

... Let K be a nonempty closed convex subset of a real uniformly convex Banach space E. A self-mapping T: K ® K is said to be nonexpansive if ||Tx-Ty|| ≤ ||x-y|| for all x,y Î K.F : K ® K ... See full document

... this iteration process for finding common fixed points of two G-nonexpansive mappings in a uniformly convex Banach ...S-iteration process, it should be ... See full document

... hyperbolic spaces with modulus of uniform convexity η(r, ε) = ε   ...of uniformly convex hyperbolic spaces includes CAT() spaces as a special ...nonlinear mappings in a ... See full document

... and nonexpansive mappings us- ing the Hausdorff metric was initiated by Markin [] and Nadler ...multi-valued mappings has been rapidly developed. The theory of multi-valued mappings has been ... See full document

... iterative process to a common fixed point for a finite family of asymptotically nonexpansive mappings (or nonexpansive mappings) in Hilbert spaces or uniformly convex ... See full document

... compact convex subset of a uniformly convex Banach space X, and let t : E → E and T : E → KCE be a single-valued nonexpansive mapping and a multivalued nonexpansive mapping, ... See full document

... asymptotically nonexpansive mappings, as a natural extension of that of nonexpansive mappings, was introduced by Goebel and Kirk ...closed convex subset of a uniformly ... See full document

... asymptotically nonexpansive mapping and asymptotically nonexpansive mappings have been studied extensively in the literature [10-16] and the references cited ...asymptotically nonexpansive ... See full document

... our process (.) converges faster than all of Picard, Mann and Ishikawa iterative processes for contractions in the sense of Berinde ...our process for the class of nonexpansive ... See full document

... image α of c is called a geodesic (or metric) segment joining x and y. When it is unique, this geodesic is denoted by [x, y]. The space (X , d) is said to be a geodesic space if every two points of X are joined by a ... See full document