Results 41 to 50 of about 57,211 (263)
Some stability results for coupled fixed point iterative process in a complete metric space [PDF]
In the paper [M. O. Olatinwo, Stability of coupled fixed point iterations and the continuous dependence of coupled fixed points, Communications on Applied Nonlinear Analysis 19 (2012), 71-83], the author has extended the notion of stability of fixed ...
M. O. Olatinwo, K. R. Tijani
doaj
Fixed points and iteration homotopies [PDF]
Suppose that Ф is a topological space equipped with a Hausdorff topology and that T is a continuous function mapping Ф into Ф. We discuss the existence and uniqueness of fixed points of T and the convergence of the Picard sequence of iterates, from the viewpoint of the existence of a homotopy with special properties.
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pH‐mediated activation of the lysosomal arginine sensor SLC38A9
Cells monitor nutrient levels via the lysosomal transporter SLC38A9 to activate the mechanistic target of rapamycin complex 1 (mTORC1). This study reveals that SLC38A9 function is regulated by pH. We identified histidine 544 as a critical pH sensor that undergoes conformational changes to control amino acid efflux from lysosomes; therefore, it ...
Xuelang Mu, Ampon Sae Her, Tamir Gonen
wiley +1 more source
We propose an iteration scheme with perturbed mapping for approximation of common fixed points of a finite family of nonexpansive mappings {Ti}i=1N. We show that the proposed iteration scheme converges to the common fixed point x*∈ ⋂i=1NFix(Ti)
Yeong-Cheng Liou +2 more
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Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations
The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas +6 more
wiley +1 more source
An unexpected alternative interaction site for ethyl viologen was identified in formate dehydrogenase 1 from Methylorubrum extorquens. Combined mutagenesis, kinetic analysis, and docking revealed that aromatic residues near an iron–sulfur cluster enable flavin mononucleotide‐independent electron transfer, offering a framework for engineering improved ...
Eleni G. Poloniataki, Yong Hwan Kim
wiley +1 more source
Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces
Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T:C→C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover,
Somyot Plubtieng, Rabian Wangkeeree
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We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
Structural insights and therapeutic targets in Acinetobacter baumannii capsule biosynthesis
Hypervirulent KL49 A. baumannii's capsular polysaccharide contains the nonulosonic acid 8‐epi‐Leg5,7Ac2, synthesized by epimerization via ElaA, ElaB, and ElaC. Crystal structures of ElaA, ElaB, and ElaC reveal their role in CMP‐Leg5,7Ac2 synthesis and regioselective C8 epimerization.
Woo Cheol Lee +7 more
wiley +1 more source
Fixed point Ishikawa iterations
If \(J\) is the closed unit inverval, with \(T\) a selfmap of \(J\), the Ishikawa iterates of \(T\) are defined by \(u_{n+1}=[(1-\alpha_ n)u_ n+\alpha_ nT[(1-\beta_ n)u_ n+b_ n Tu_ n]]\) with \(u_ 0\in J\) and \(\{\alpha_ n\}\), \(\{\beta_ n\}\) satisfying the three conditions \[ \text{(a)} \quad 0\leq \alpha_ n\leq \beta_ n\leq 1, \qquad \text{(b ...
Kalinde, Albert K, Rhoades, B.E
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