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Some convergence theorems involving proximal point and common fixed points for asymptotically nonexpansive mappings in \(\operatorname {CAT}(0)\) spaces
... many convergence results by the proximal point algorithm (shortly, the PPA) which was initiated by Martinet [] in for solving optimization problems have been extended from the classical linear ... See full document
123
Proximal point algorithms involving fixed points of nonexpansive mappings in \(\operatorname{CAT}(0)\) spaces
... modified proximal point algorithm using the S-type iteration process for two nonexpansive mappings in CAT() spaces and prove some convergence theorems of the ... See full document
28
Strong and △-convergence theorems for two asymptotically nonexpansive mappings in the intermediate sense in \(\operatorname{CAT}(0)\) spaces
... a CAT() space if it is geodesically connected and if every geodesic triangle in X is at least as ‘thin’ as its comparison triangle in the Euclidean ...a CAT() space. Fixed point theory in ... See full document
152
Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
... fixed point theorem for a noncommutative semi- group of nonexpansive mappings which generalizes De Marr’s fixed point theorem ...a common fixed ...a common fixed ...of ... See full document
133
Δ-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces
... established some strong convergence theorems of the proposed algorithm to common fixed points of nonexpansive mappings and to minimizers of a convex ...established ... See full document
22
Convergence theorems for common fixed points of a finite family of total asymptotically nonexpansive nonself mappings in hyperbolic spaces
... hyperbolic spaces, nonlinear in nature, is a general abstract theoretic setting with rich geometrical structure for metric fixed point ...hyperbolic spaces has been largely motivated and ... See full document
174
Convergence theorems of common fixed points for some semigroups of nonexpansive mappings in complete CAT(0) spaces
... consider some iteration processes for one-parameter continuous semigroups of nonexpansive mappings in a nonempty compact convex subset C of a complete CAT(0) space X and prove that the ... See full document
56
Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces
... a CAT(0) space (X, d). A mapping T : C ® C is called a nonexpansive mapping if d(Tx, Ty) ≤ d(x, y) for all x, y Î ...A point x Î C is called a fixed point of T if Tx = ...of ... See full document
15
Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces
... Fixed point theory in a CAT0 space was first studied by Kirk see 6, ...every nonexpansive single-valued mapping defined on a bounded closed convex subset of a complete CAT0 space always has a ... See full document
6
Convergence of three step iterations for nearly asymptotically nonexpansive mappings in \(\operatorname{CAT}(k)\) spaces
... two points of X (every two points of distance smaller than D) are joined by a geodesic, and X is said to be uniquely geodesic (D-uniquely geodesic) if there is exactly one geodesic joining x and y for each ... See full document
20
Strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)
... in fixed point theory are lead by the considerations in summability ...the convergence of the sequence of its arithmetic ...the convergence of other iteration ... See full document
119
Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces
... a CAT(0) space if it is geodesically con- nected and if every geodesic triangle in X is at least as thin as its comparison triangle in the Euclidean ... See full document
53
Common fixed points of a finite family of asymptotically pseudocontractive maps
... of asymptotically hemicontractive maps (i.e., mappings for which F(T) = ∅ and ...strong convergence theorem similar to Theorem ...L-Lipschitzian asymptotically pseudocontractive ... See full document
10
Approximation of Fixed Points of Nonexpansive Mappings and Solutions of Variational Inequalities
... It is well known see 8 that if E is uniformly smooth and there exists a nonexpansive retraction of E onto K, then there exists a nonexpansive projection of E onto K. If E is a real smooth Banach space, then ... See full document
214
Some convergence results for multivalued quasi-nonexpansive mappings in \(\operatorname{CAT}(\kappa)\) spaces
... Fixed point theory for multivalued contractions and nonexpansive mappings using the Hausdorff metric was first studied by Markin [] and Nadler ...fixed points of multivalued ... See full document
62
Convergence theorems on total asymptotically demicontractive and hemicontractive mappings in CAT(0) spaces
... demicontractive mappings and total asymptotically hemicontractive mappings in CAT() spaces, and prove some strong convergence theorems of Mann- and Ishikawa- type ... See full document
9
Convergence theorems of a hybrid iteration method for fixed points of asymptotically nonexpansive mappings
... approximating fixed points of nonexpansive mappings and asymptot- ically nonexpansive mappings have been studied by various authors; see, ...for nonexpansive ... See full document
119
On total asymptotically nonexpansive mappings in CAT(κ) spaces
... two points of X (every two points of distance smaller than D) are joined by a geodesic, and X is said to be uniquely geodesic (D-uniquely geodesic) if there is exactly one geodesic joining x and y for each ... See full document
17
A Weak Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces
... of asymptotically strict pseudocontractions was introduced by Qihou 13 in ...of asymptotically strict pseudocontractions is demiclosed at the origin and also obtained a weak convergence theorem for ... See full document
7
1. Convergence theorems of fixed point for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
... generalized asymptotically nonexpansive mapping and gave a necessary and sufficient condition for the modi- fied Ishikawa and Mann iterative sequences to converge to fixed points for the class of ...the ... See full document
6
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