scholarly journals Fixed point properties and reflexivity in variable Lebesgue spaces

2021 ◽  
Vol 280 (6) ◽  
pp. 108896
Author(s):  
T. Domínguez Benavides ◽  
M.A. Japón
Keyword(s):  
Fixed Point ◽  
Lebesgue Spaces ◽  
Variable Lebesgue Spaces ◽  
Fixed Point Properties

Strong and pure fixed point properties of mappings on normed spaces

2021 ◽  
Author(s):  
Hüseyin Işık ◽  
Vahid Parvaneh ◽  
Mohammad Reza Haddadi
Keyword(s):  
Fixed Point ◽  
Normed Spaces ◽  
Fixed Point Properties

New variable martingale Hardy spaces

2021 ◽  
pp. 1-29
Author(s):  
Yong Jiao ◽  
Dan Zeng ◽  
Dejian Zhou
Keyword(s):  
Brownian Motion ◽  
Hardy Space ◽  
Hardy Spaces ◽  
Stochastic Integral ◽  
Lebesgue Spaces ◽  
Type Space ◽  
Variable Lebesgue Spaces ◽  
Martingale Inequalities

We investigate various variable martingale Hardy spaces corresponding to variable Lebesgue spaces $\mathcal {L}_{p(\cdot )}$ defined by rearrangement functions. In particular, we show that the dual of martingale variable Hardy space $\mathcal {H}_{p(\cdot )}^{s}$ with $0<p_{-}\leq p_{+}\leq 1$ can be described as a BMO-type space and establish martingale inequalities among these martingale Hardy spaces. Furthermore, we give an application of martingale inequalities in stochastic integral with Brownian motion.

Renormings of ℓ1 and C 0 and Fixed Point Properties

2001 ◽  
pp. 269-297 ◽  
Author(s):  
P. N. Dowling ◽  
C. J. Lennard ◽  
B. Turett
Keyword(s):  
Fixed Point ◽  
Fixed Point Properties
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