[PDF] Top 20 Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces

... A semitopological semigroup S is said to be left (resp. right) reversible if any two closed right (resp. left) ideals of S have nonvoid intersection. If S is left reversible, (S, ) is a directed system when the ... See full document

... existence theorems of fixed points, the convexity and closedness of a fixed point set in CAT() spaces for total asymptotically nonexpansive nonself mappings which is ... See full document

... Definition 2.5 . [1,13] Let X be a Banach space and let ψ be a measure of weak non- compactness on X. A mapping B : D(B) ⊆ X ® X is said to be ψ -contractive if it maps bounded sets into bounded sets and there is a b Î ... See full document

... complete CAT() space always has a fixed ...to CAT() spaces and proved that it is very similar to the weak conver- gence in the Banach space ...fixed point and -convergence theorems for ... See full document

... of asymptotically nonexpansive type and T N is continuous for some N Î ...is asymptotically regular at some x Î C, ...= 0 then {T n x} ... See full document

... than nonexpansive- ness. Therefore, it is natural to call these mappings as “generalized nonexpansive ...these mappings as those satisfying the condition ...E 0, ... See full document

... lish generalized CAT() versions of the Fan-Browder fixed point ...saddle point theorem, a fixed point theorem for single- valued mappings, best approximation theorems, and ... See full document

... Fixed point theory in CAT(0) spaces was first studied by Kirk; see [5,6] and the references ...every nonexpansive (single-valued) mapping defined on a bounded closed convex ... See full document

... of generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong ...hyperbolic spaces and generalize many known results in Banach spaces and ... See full document

... Fixed point theory in a CAT0 space was first studied by Kirk see 17, ...every nonexpansive single-valued mapping defined on a bounded closed convex subset of a complete CAT0 space always has a ... See full document

... Iteration procedures in fixed point theory are lead by the considerations in summability theory. For example, if a given sequence converges, then we don’t look for the convergence of the sequence of its ... See full document

... fixed point of a semigroup of asymptotically nonexpansive mappings which is a unique solution of some variational ...convergence theorems are obtained in a uniformly convex Banach ... See full document

... a point in F by Theorem ...complete CAT() space X, and let S, T : K → K be two asymptotically nonexpansive mappings in the intermediate sense with F = ∅ ... See full document

... fixed point theorems for nonexpansive mappings in the setting of CAT() space have been studied extensively by many authors (see, for example, ...for asymptotically nonexpan- sive ... See full document

... proximal point algorithm using the S-type iteration process for four asymptotically nonexpansive mappings in CAT() spaces and to prove some - and strong convergence ... See full document

... Let (X, d) be a metric space. A geodesic path joining x Î X to y Î X (or, more briefly, a geodesic from x to y) is a map c from a closed interval [0, ℓ ] ⊆ R to X such that c (0) = x , c ( ℓ ) = y , and d ( ... See full document

... fixed point for generalized asymptotically quasi-nonexpansive mappings in real Banach spaces and give the necessary and sufficient condition for convergence of three-step iterative ... See full document

... ≥ 0} a u.a.r generalized asymptotically nonexpansive semigroup from K into itself with sequences {k 1 h }{k 2 h }, h ≥ 0, such that F / ∅, and f : K → K a fixed ... See full document

... on mappings, which is weaker than non- expansiveness and stronger than quasi-nonexpansivemess and called it condition ...interesting fixed point theorems and convergence theorems for ... See full document

... for nonexpansive maps, k-strictly pseudocontractive maps and other generalizations that do not exhibit asymptotic behaviours, sometimes very strong condition are imposed on the fixed-point set, F (T ... See full document