Common fixed points under Lipschitz type condition [PDF]
The present paper is aimed at obtaining common fixed point theorems for a pair of selfmaps satisfying nonexpansive or Lipschitz type condition by using the notion of pointwise R- weak commutativity but without assuming the completeness of the space or continuity of the mappings involved. Mathematics Subject Classification: 54 H 25.
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The Caenorhabditis elegans DPF‐3 and human DPP4 have tripeptidyl peptidase activity
The dipeptidyl peptidase IV (DPPIV) family comprises serine proteases classically defined by their ability to remove dipeptides from the N‐termini of substrates, a feature that gave the family its name. Here, we report the discovery of a previously unrecognized tripeptidyl peptidase activity in DPPIV family members from two different species.
Aditya Trivedi, Rajani Kanth Gudipati
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(C , Ψ * , G ) Class of Contractions and Fixed Points in a Metric Space Endowed with a Graph
In this paper, we introduce the ( C , Ψ * , G ) class of contraction mappings using C-class functions and some improved control functions for a pair of set valued mappings as well as a pair of single-valued mappings, and prove common fixed ...
Reny George +4 more
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A simple computational algorithm with inertial extrapolation for generalized split common fixed point problems. [PDF]
Gebrie AG, Bedane DS.
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The role and implications of mammalian cellular circadian entrainment
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
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The Existence of Cone Critical Point and Common Fixed Point with Applications
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
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Common fixed points of set‐valued mappings
The main purpose of this paper is to obtain a common fixed point for a pair of set‐valued mappings of Greguš type condition. Our theorem extend Diviccaro et al. (1987), Guay et al. (1982), and Negoescu (1989).
M. R. Singh, L. S. Singh, P. P. Murthy
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Molecular bases of circadian magnesium rhythms across eukaryotes
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
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Crosstalk between the ribosome quality control‐associated E3 ubiquitin ligases LTN1 and RNF10
Loss of the E3 ligase LTN1, the ubiquitin‐like modifier UFM1, or the deubiquitinating enzyme UFSP2 disrupts endoplasmic reticulum–ribosome quality control (ER‐RQC), a pathway that removes stalled ribosomes and faulty proteins. This disruption may trigger a compensatory response to ER‐RQC defects, including increased expression of the E3 ligase RNF10 ...
Yuxi Huang +8 more
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Common fixed points of commuting holomorphic maps
In 1964, \textit{A. L. Shields} [Proc. Am. Math. Soc. 15, 703-706 (1964; Zbl 0129.291)] proved that every family of commuting holomorphic maps of the unit disk \(\Delta\) of \({\mathbb{C}}\) into itself continuous up to the boundary admits a fixed point in \({\bar \Delta}\). Later, \textit{D. J. Eustice} [Mich. Math. J.
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