[PDF] Top 20 Convergence of general algorithm for I generalized asymptotically nonexpansive nonself mappings in uniformly convex hyperbolic spaces

... a nonexpansive retraction of X onto K. A nonself-mapping T : K → X is called asymptoti- cally nonexpansive in the intermediate sense if T is continuous and the following inequal- ity ... See full document

... strong convergence theorems for total asymptotically nonexpansive nonself mappings in the framework of CAT(0) ...such mappings are also ... See full document

... strong convergence of iterative algorithm 1.6 for the class of uniformly L-Lipschitzian and generalized asymptotically quasi-nonexpansive selfmaps on a CAT0 ...the general ... See full document

... of nonself ({µ n }, {v n }, ζ )− total asymptotically nonexpan- sive mappings via new iterative scheme and establish strong and ∆−convergence theorems in the setup of uniformly ... See full document

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

... linear spaces or Banach spaces ma- jorly depends on the corresponding linear structures of those ...curved spaces play a significant role in many branches of ...of hyperbolic spaces - ... See full document

... the convex metric space introduced by Taka- hashi ...of hyperbolic spaces in [] is more restrictive than the hyperbolic type introduced by Goebel [] since (I)-(III) together are ... See full document

... of hyperbolic spaces introduced by Kohlenbach [], which is more restrictive than the hyperbolic space introduced in Goebel and Kirk [] and more general than the hyperbolic space in ... See full document

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

... more general class of total asymptotically nonexpansive mappings as the generalization of asymptotically nonexpansive ...and convex subset of E. Let P : E → K be the ... See full document

... total asymptotically nonexpansive nonself map- pings in hyperbolic spaces) Let (X, d, W ) be a complete uniformly convex hyperbolic space with monotone modulus of ... See full document

... a convex structure. The class of hyperbolic spaces, nonlinear in nature, is a general abstract theoretic setting with rich geometrical structure for metric fixed point ...of hyperbolic ... See full document

... of convergence in a general metric space set- ting which he called ...CAT(0) spaces and showed that many Banach space results involving weak convergence have precise analogs in this ... See full document

... Fixed point theorems for a mapping satisfying condition (C) were studied by Dhom- pongsa et al. [] and Phuengrattana []. Khan and Suzuki [] proved a weak convergence theorem for a mapping satisfying condition ... See full document

... also uniformly smooth if the limit exists uniformly for x, y ∈ ...strictly convex, smooth and re- flexive, then the duality map J is one-to-one, single-valued and ...is uniformly smooth, then J ... See full document

... of generalized nonexpansive mappings in a CAT() ...for generalized nonexpansive mappings in hyperbolic ...total asymptotically non- expansive mappings in ... See full document

... nonlinear mappings in a general setup of hyperbolic spaces is a fascinating field of research in nonlinear functional ...of nonexpansive mappings and its various generalization ... See full document

... iterative algorithm inspired by Matsushita and Takahashi ...strong convergence theorem of the proposed algorithm for asymptotically nonexpansive in the intermediate sense ... See full document

... Let (X , d) be a metric space and x, y ∈ X with d(x, y) = l. A geodesic path from x to y is a isometry c : [0, l] → X such that c(0) = x and c(l) = y. The image of a geodesic part is called a geodesic segment. A metric ... See full document

... for asymptotically nonexpansive mappings on a 2-uniformly convex hyperbolic space is ...in uniformly convex Banach ... See full document