T. Dalby

activity

20202024

most citedProperties of $R(X), R(a, X) \mbox{ and } RW(a, X)$

1 citations · 1 across the 9 of their papers we have counts for

collaborators

9 papers

math.FA2024

Uniformly nonsquare Banach spaces have the Fixed Point Property

Tim Dalby

Another proof that uniformly nonsquare Banach spaces have the fixed point property is presented.

math.FA2024

Uniformly nonsquare Banach spaces have the Fixed Point Property 2

Tim Dalby

Another proof that uniformly nonsquare Banach spaces have the fixed point property is presented.

math.FA2024

Uniformly nonsquare Banach spaces have the fixed point property 1

Tim Dalby

Another proof that uniformly nonsquare Banach spaces have the fixed point property is presented.

math.FA2024

More on Property( $M$ ) in separable Banach spaces: Revised

Tim Dalby

Property( $M$ ) in separable Banach spaces has played an important role in metric fixed point theory. This paper explores some of the Banach space properties that can be associated w…

math.FA2021

$D (X) < 1$ or $D^(X) < 1$ imply Property( $K$ )

Tim Dalby

Two new Banach space moduli, that involve weak convergent sequences, are introduced. It is shown that if either one of these moduli are strictly less than 1 then the Banach space h…

math.FA2021

Property( $K^{}$ ) Implies $R (X) \leq 1 + \frac{1}{1 + r _{X^{}} ( 1 )}$

Tim Dalby

It is shown that if the dual of a Banach space satisfies Property( $K^{*}$ ) then $R (X) \leq 1 + \frac{1}{1 + r _{X^{*}} ( 1 )} < 2$ where $r_{X^{*}} (c)$ is Opial's…

math.FA2020

Property( $K^{*}$ ) Implies the Weak Fixed Point Property

Tim Dalby

It is shown that if the dual of a separable Banach space has Property( $K^{*}$ ) then the original space has the weak fixed point property. This is an improvement of previously results…

math.FA2020

$X^{}$ with weak uniform Kadec-Klee property has Property( $K^{*}$ )

Tim Dalby

It is shown that if the dual of a Banach space, $X^{*}$ , where the dual ball is weak* sequentially compact, has the weak* uniform Kadec-Klee property then $X^{*}$ has Property( $K^{*}$ ).…

math.FA2020★ 1 cited

Properties of $R(X), R(a, X) \mbox{ and } RW(a, X)$

Tim Dalby

In the context of metric fixed point theory in Banach spaces three moduli have played an important role. These are R(X), R(a, X) and RW(a, X). This paper looks at some of their pro…

Uniformly nonsquare Banach spaces have the Fixed Point Property

Uniformly nonsquare Banach spaces have the Fixed Point Property 2

Uniformly nonsquare Banach spaces have the fixed point property 1

More on Property(M) in separable Banach spaces: Revised

D(X)<1 or D^(X)<1 imply Property(K)

Property(K∗) Implies R(X)≤1+1+rX∗​(1)1​

Property(K∗) Implies the Weak Fixed Point Property

X∗ with weak* uniform Kadec-Klee property has Property(K∗)

Properties of $R(X), R(a, X) \mbox{ and } RW(a, X)$

More on Property( $M$ ) in separable Banach spaces: Revised

$D (X) < 1$ or $D^(X) < 1$ imply Property( $K$ )

Property( $K^{}$ ) Implies $R (X) \leq 1 + \frac{1}{1 + r _{X^{}} ( 1 )}$

Property( $K^{*}$ ) Implies the Weak Fixed Point Property

$X^{}$ with weak uniform Kadec-Klee property has Property( $K^{*}$ )