Results 71 to 80 of about 3,597,172 (269)

On some fixed point results in b-metric, rectangular and b-rectangular metric spaces

Arab Journal of Mathematical Sciences, 2016
In this paper we consider, discuss, improve and generalize recent fixed point results for mappings in b-metric, rectangular metric and b-rectangular metric spaces established by Đukić et al. (2011), George and Rajagopalan (2013) and Roshan et al. (2015).
Hui-Sheng Ding, Mohammad Imdad, Stojan Radenović, Jelena Vujaković   +3 more
doaj   +1 more source

Reciprocal control of viral infection and phosphoinositide dynamics

FEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

By dawn or dusk—how circadian timing rewrites bacterial infection outcomes

FEBS Letters, EarlyView.
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo, Catherine S. Palmer, Jacqueline M. Kimmey   +2 more
wiley   +1 more source

On split common null point and common fixed point problems for multivalued demicontractive mappings

Demonstratio Mathematica
In this paper, we study a new inertial algorithm for finding a common solution of the split common null point problem for two infinite families of maximal monotone operators and common fixed point problem for an infinite family of multivalued ...
Wang Yaqin, Zhang Yuanqin
doaj   +1 more source

Commuting functions with no common fixed point [PDF]

Transactions of the American Mathematical Society, 1969
Introduction. Let f and g be continuous functions mapping the unit interval I into itself which commute under functional composition, that is, f(g(x))=g(f(V)) for all x in I. In 1954 Eldon Dyer asked whetherf and g must always have a common fixed point, meaning a point z in I for which f(z) =z=g(z). A. L.
openaire   +2 more sources

The role and implications of mammalian cellular circadian entrainment

FEBS Letters, EarlyView.
At their most fundamental level, mammalian circadian rhythms occur inside every individual cell. To tell the correct time, cells must align (or ‘entrain’) their circadian rhythm to the external environment. In this review, we highlight how cells entrain to the major circadian cues of light, feeding and temperature, and the implications this has for our
Priya Crosby
wiley   +1 more source

The Existence of Cone Critical Point and Common Fixed Point with Applications

Journal of Applied Mathematics, 2011
We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem ...
Wei-Shih Du
doaj   +1 more source

Some Remarks on Common Fixed Point Theorems

Journal of Mathematical Analysis and Applications, 1994
The author establishes several common fixed point theorems for compatible maps of a complete metric space using contractive conditions of Caristi type [\textit{J. Caristi}, Trans. Am. Math. Soc. 215, 241-251 (1976; Zbl 0305.47029)] and Hegedüs type [\textit{M. Hegedüs}, Acta Sci. Math. 42, 87-89 (1980; Zbl 0438.47057)].
openaire   +2 more sources

Common Fixed Points for Commuting Cournot Maps [PDF]

Real Analysis Exchange, 2003
The author studies the existence of common fixed points of two commuting Cournot maps on \([0,1]^2\). Extensions of results by \textit{J. R. Jachymski} [Proc. Am. Math. Soc. 124, 3229--3233 (1996; Zbl 0881.54043)] and \textit{G. F. Jungck} [Proc. Am. Math. Soc. 115, 495--499 (1992; Zbl 0771.54037)] to the Cournot case are given.
openaire   +3 more sources

Molecular bases of circadian magnesium rhythms across eukaryotes

FEBS Letters, EarlyView.
Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
wiley   +1 more source