Results 31 to 40 of about 130,478 (251)

Weak proximal normal structure and coincidence quasi-best proximity points

open access: yesApplied General Topology, 2020
We introduce the notion of pointwise cyclic-noncyclic relatively nonexpansive pairs involving orbits. We study the best proximity point problem for this class of mappings.
Farhad Fouladi   +2 more
doaj   +1 more source

Best proximity point theorems

open access: yesJournal of Approximation Theory, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Convergence and Best Proximity Points for Generalized Contraction Pairs

open access: yesMathematics, 2019
This paper is devoted to studying the existence of best proximity points and convergence for a class of generalized contraction pairs by using the concept of proximally-complete pairs and proximally-complete semi-sharp proximinal pairs.
Slah Sahmim   +2 more
doaj   +1 more source

Best Proximity Point Results for Almost Contraction and Application to Nonlinear Differential Equation [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this
Azhar Hussain   +3 more
doaj   +1 more source

On the Best Proximity Points for p–Cyclic Summing Contractions

open access: yesMathematics, 2020
We present a condition that guarantees the existence and uniqueness of fixed (or best proximity) points in complete metric space (or uniformly convex Banach spaces) for a wide class of cyclic maps, called p–cyclic summing maps.
Miroslav Hristov   +2 more
doaj   +1 more source

Best Proximity Points for Geraghty-Type Non-Self Mappings

open access: yesInternational Journal of Topology
We study Geraghty-type non-self mappings within the framework of best proximity point theory. By introducing auxiliary functions with subsequential convergence, we establish general conditions ensuring the existence and uniqueness of best proximity ...
Fatemeh Fogh, Sara Behnamian
doaj   +1 more source

A discussion on best proximity point and coupled best proximity point in partially ordered metric spaces [PDF]

open access: yesFixed Point Theory and Applications, 2015
AbstractIn this paper we establish some best proximity point results using generalized weak contractions with discontinuous control functions. The theorems are established in metric spaces with a partial order. We view the main problem in the paper as a problem of finding an optimal approximate solution of a fixed point equation.
Choudhury, Binayak S   +3 more
openaire   +2 more sources

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

open access: yesFEBS Letters, EarlyView.
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho   +3 more
wiley   +1 more source

Condensing Mappings and Best Proximity Point Results

open access: yesJournal of Mathematics, 2021
Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings.
Sarah O. Alshehri   +2 more
openaire   +2 more sources

The planar cell polarity protein Vangl2 interacts with the PDZ‐domains of Scribble but not with a unique PDZ‐like domain in Inturned

open access: yesFEBS Letters, EarlyView.
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes   +4 more
wiley   +1 more source

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