We introduce a class of nonlinear continuous mappings defined on a bounded closed convex subset of a Banach space X. We characterize the Banach spaces in which every asymptotic center of each bounded sequence in any weakly compact convex subset is compact as those spaces having the weak fixed point property for this type of mappings
AbstractLet X and Y be metric spaces. We say that a continuous mapping T: X → Y is asymptotically-k-...
AbstractThe following theorem is proven: If E is a uniformly convex Banach space satisfying Opial's ...
We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed-point p...
Abstract. Let X be a Banach space, C a weakly compact convex subset of X and T: C → C an asymptotica...
Let X be a Banach space and C a bounded, closed, convex subset of X. C is said to have the weak-appr...
AbstractA new condition for mappings, called condition (C), which is more general than nonexpansiven...
AbstractA nonempty closed convex bounded subset C of a Banach space is said to have the weak approxi...
We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed-point p...
Abstract. We prove a general result about the stability of the fixed point property in closed bounde...
AbstractIt is shown that in a Banach space X with weak uniform normal structure, every demicontinuou...
We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed-point p...
AbstractIt is shown that a closed convex bounded subset of a Banach space is weakly compact if and o...
ABSTRACT. We use a coefficient to give fixed point theorems in the setting of Banach spaces with the...
A mapping T defined on a weakly compact convex subset C of a Banach space X is said to be nonexpansi...
AbstractWe show that the set of fixed points of an asymptotically regular mapping acting on a convex...
AbstractLet X and Y be metric spaces. We say that a continuous mapping T: X → Y is asymptotically-k-...
AbstractThe following theorem is proven: If E is a uniformly convex Banach space satisfying Opial's ...
We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed-point p...
Abstract. Let X be a Banach space, C a weakly compact convex subset of X and T: C → C an asymptotica...
Let X be a Banach space and C a bounded, closed, convex subset of X. C is said to have the weak-appr...
AbstractA new condition for mappings, called condition (C), which is more general than nonexpansiven...
AbstractA nonempty closed convex bounded subset C of a Banach space is said to have the weak approxi...
We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed-point p...
Abstract. We prove a general result about the stability of the fixed point property in closed bounde...
AbstractIt is shown that in a Banach space X with weak uniform normal structure, every demicontinuou...
We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed-point p...
AbstractIt is shown that a closed convex bounded subset of a Banach space is weakly compact if and o...
ABSTRACT. We use a coefficient to give fixed point theorems in the setting of Banach spaces with the...
A mapping T defined on a weakly compact convex subset C of a Banach space X is said to be nonexpansi...
AbstractWe show that the set of fixed points of an asymptotically regular mapping acting on a convex...
AbstractLet X and Y be metric spaces. We say that a continuous mapping T: X → Y is asymptotically-k-...
AbstractThe following theorem is proven: If E is a uniformly convex Banach space satisfying Opial's ...
We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed-point p...