We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of commutative semigroups of asymptotically nonexpansive type map-pings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves. As applications of our main theorems, we obtain the results on the asymptotic behavior and ergodicity for a commutative semigroup of non-Lipschitzian mappings with nonconvex domains in a Hilbert space. 1
Let be a nonempty subset (not necessarily closed and convex) of a Hilbert space and let be a semi...
Abstract. In this paper, one of the our main results is Theorem 1 which is a generalization of a res...
AbstractWe give three equivalent conditions for weak convergence of almost orbits of an asymptotical...
We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of ...
We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of ...
In this paper, we prove a nonlinear ergodic theorem for a commutative semigroup of asymptotically no...
Abstract. Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S = {...
Let G be a semitopological semigroup, C a nonempty subset of a real Hilbert space H, and ℑ={Tt:t∈G} ...
AbstractLet X be a uniformly convex Banach space such that its dual X* has the Kadec–Klee property, ...
Let $C $ be a closed and convex subset of a real Banach space. Then a mapping $T:Carrow C $ is calle...
AbstractThe following theorem is proven: If E is a uniformly convex Banach space satisfying Opial's ...
AbstractLet S be a semitopological semigroup. Let C be a closed convex subset of a uniformly convex ...
Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S = {T(t); t &#...
Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S = {T(t); t &#...
Let K be a nonempty subset (not necessarily closed and convex) of a Hilbert space and let Γ={T(t)...
Let be a nonempty subset (not necessarily closed and convex) of a Hilbert space and let be a semi...
Abstract. In this paper, one of the our main results is Theorem 1 which is a generalization of a res...
AbstractWe give three equivalent conditions for weak convergence of almost orbits of an asymptotical...
We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of ...
We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of ...
In this paper, we prove a nonlinear ergodic theorem for a commutative semigroup of asymptotically no...
Abstract. Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S = {...
Let G be a semitopological semigroup, C a nonempty subset of a real Hilbert space H, and ℑ={Tt:t∈G} ...
AbstractLet X be a uniformly convex Banach space such that its dual X* has the Kadec–Klee property, ...
Let $C $ be a closed and convex subset of a real Banach space. Then a mapping $T:Carrow C $ is calle...
AbstractThe following theorem is proven: If E is a uniformly convex Banach space satisfying Opial's ...
AbstractLet S be a semitopological semigroup. Let C be a closed convex subset of a uniformly convex ...
Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S = {T(t); t &#...
Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S = {T(t); t &#...
Let K be a nonempty subset (not necessarily closed and convex) of a Hilbert space and let Γ={T(t)...
Let be a nonempty subset (not necessarily closed and convex) of a Hilbert space and let be a semi...
Abstract. In this paper, one of the our main results is Theorem 1 which is a generalization of a res...
AbstractWe give three equivalent conditions for weak convergence of almost orbits of an asymptotical...