[PDF] Top 20 Some fixed points properties, strong and ∆-convergence results for generalized α-nonexpansive mappings in hyperbolic spaces

... of convergence of the Normal S-iteration process is as fast as the Picard iteration process but faster than other fixed point iteration process that was in existence ... See full document

... prove strong and -convergence theorems for a class of mappings which is essentially wider than that of asymptotically nonexpansive mappings on hyperbolic space through the ... See full document

... Such properties have a direct impact when the process is execut- ed directly in the underlying infinite dimensional ...weak convergence of Krasnoselski-Mann iterative process and Ishikawa iterative process, ... See full document

... asymptotically nonexpansive mappings was introduced by Goebel and Kirk [] in ...Banach spaces, they proved that if C is nonempty bounded closed and convex, then every asymptotically ... See full document

... is nonexpansive. This fact actually characterizes Hilbert spaces and consequently, it is not available in more general Banach ...a generalized projection operator Π C in a ... See full document

... prove some fixed points properties and demiclosedness principle for a Banach operator in uniformly convex hyperbolic ...a fixed point of Banach operator and establish some ... See full document

... prove some convergence theorems for nonexpansive mappings in Banach ...similar results in CAT(0) spaces for generalized nonexpansive mappings, which, in ... See full document

... approximate fixed points of Suzuki’s generalized non-expansive ...establish some weak and strong convergence results for such mappings in uniformly convex Banach ... See full document

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

... extend some results to uniformly convex W-hyperbolic spaces which are a natural generalization of both uniformly convex normed spaces and CAT(0) ...of fixed points and ... See full document

... prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert ...Our results extend and improve the recent results of ... See full document

... finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized ... See full document

... Kalsoom, Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces, Fixed Point Theory and Applications, 2014: 33, (2014), ...Basarir, Some ... See full document

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

... provide some necessary ...main strong con- vergence theorems are established in a reflexive, strictly convex, and smooth Banach space such that both E and E* have Kadec-Klee ...main results are ... See full document

... In a uniformly Banach space, Senter and Dotson, Jr., have conditions under which the sequence of Mann types of iterates of a quasi-nonexpansive mapping converges to a fixed point of the mapping in question. ... See full document

... Theorem T1 . Let H be a Hilbert space, F : H ® H be a -Lipschitzian and h-strongly monotone operator with >0 and h >0, and S : H ® H be a nonexpansive mapping with F(S) ≠ ∅ . Let f : H ® H be a contraction ... See full document

... show strong convergence theorems of the CQ method for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical ...The results presented extend and improve the ... See full document

... of fixed points of nonlinear mappings is an important and active research ...finding fixed points of nonexpansive mappings have received vast investigation ...for ... See full document

... Let K be a nonempty closed convex subset of a uniformly convex Banach space E. Let S : K→K be a nonexpansive mapping and let T : K→K be an asymptotically nonexpansive mapping. In 10, the authors introduced ... See full document