A mapping T defined on a weakly compact convex subset C of a Banach space X is said to be nonexpansive if ||T(x)-T(y)||≼||x-y|| for all x and y in C; and X is said to have the (weak) fixed point properly (FPP) if every such mapping has a fixed point. Classical results show that every uniformly convex Banach space and those with normal structure have the fixed point property. Until recently other positive results remained fragmentary. Moreover, it was only in 1981 that Alspach showed that L₁ does not have the FPP
Abstract. Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point propert...
Abstract. Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point propert...
Abstract. Let X be a Banach space, C a weakly compact convex subset of X and T: C → C an asymptotica...
Recall that a Banach space X has the weak fixed point property if for any nonempty weakly compact su...
It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T: C → C has a fixed ...
ABSTRACT. We use a coefficient to give fixed point theorems in the setting of Banach spaces with the...
Recall that a Banach space X has the weak fixed point property if for any nonempty weakly compact su...
It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T: C → C has a fixed ...
It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T:C→C has a fixed poi...
bounded and convex subset of a uniformly convex Banach space has the fixed point property for nonexp...
[[abstract]]This thesis will obtain a main result by extending the Theorem of R. Smarzewski [9] in a...
In 1981, Maurey proved that every weakly compact, convex subset C of c₀ is such that every nonexpans...
In this paper, we prove that if $K$ is a nonempty weakly compact set in a Banach space $X$, $T:K\to ...
In 1981, Maurey proved that every weakly compact, convex subset C of c₀ is such that every nonexpans...
ABSTRACT. For i = 1..... n, let K i be a closed subset of a Banach space Xi, suppose K 1 has the fix...
Abstract. Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point propert...
Abstract. Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point propert...
Abstract. Let X be a Banach space, C a weakly compact convex subset of X and T: C → C an asymptotica...
Recall that a Banach space X has the weak fixed point property if for any nonempty weakly compact su...
It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T: C → C has a fixed ...
ABSTRACT. We use a coefficient to give fixed point theorems in the setting of Banach spaces with the...
Recall that a Banach space X has the weak fixed point property if for any nonempty weakly compact su...
It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T: C → C has a fixed ...
It is shown that every asymptotically regular or λ-firmly nonexpansive mapping T:C→C has a fixed poi...
bounded and convex subset of a uniformly convex Banach space has the fixed point property for nonexp...
[[abstract]]This thesis will obtain a main result by extending the Theorem of R. Smarzewski [9] in a...
In 1981, Maurey proved that every weakly compact, convex subset C of c₀ is such that every nonexpans...
In this paper, we prove that if $K$ is a nonempty weakly compact set in a Banach space $X$, $T:K\to ...
In 1981, Maurey proved that every weakly compact, convex subset C of c₀ is such that every nonexpans...
ABSTRACT. For i = 1..... n, let K i be a closed subset of a Banach space Xi, suppose K 1 has the fix...
Abstract. Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point propert...
Abstract. Let X be a Banach space and τ a topology on X. We say that X has the τ-fixed point propert...
Abstract. Let X be a Banach space, C a weakly compact convex subset of X and T: C → C an asymptotica...