Abstract In this work we study what call Siegel–dissipative vector of commuting operators $$(A_1,\ldots , A_{d+1})$$ ( A 1 , … d + ) on a Hilbert...

in this paper, we establish and prove the existence of best proximity points for multivalued cyclic $f$- contraction mappings in complete metric spaces. our results improve and extend various results in literature.

recently, choudhury and metiya [fixed points of weak contractions in cone metric spaces, nonlinear analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. weak contractions are generalizations of the banach's contraction mapping, which have been studied by several authors. in this paper, we introduce the notion of $f$-weak contractions and als...

Extracellular signal-regulated kinases (ERK) and mitogen-activated protein (MAP) kinases participate in cell signaling, regulating cell growth. In differentiated cells, the role ERK plays is less well known. This study quantified the degree of basal and stimulated ERK phosphorylation and contraction in freshly isolated arteries. The level of basal ERK phosphorylation was identical in preloaded ...