Results 31 to 40 of about 173,800 (258)

Best proximity point results in set-valued analysis

Nonlinear Analysis, 2016
Here we introduce certain multivalued maps and use them to obtain minimum distance between two closed sets. It is a proximity point problem which is treated here as a problem of finding global optimal solutions of certain fixed point inclusions. It is an
Binayak S. Choudhury, Pranati Maity, Nikhilesh Metiya   +2 more
doaj   +1 more source

A remark on Jleli–Samet’s best proximity point theorems for α-ψ-contraction mappings

Fixed Point Theory and Algorithms for Sciences and Engineering, 2023
Inspired by the work of Jachymski, we slightly extend some fixed point theorems with a graph and show that some best proximity point theorems for α-ψ-contraction mappings of Jleli and Samet can be deduced by our results.
Pinya Ardsalee
doaj   +1 more source

Some Common Best Proximity Point Results in Neutrosophic Complete Metric Spaces

Mathematics
In this research article, we prove the existence and uniqueness of common best proximity points for a given class of discontinuous mappings. For that, we have introduced the notions of neutrosophic proximally compatible mappings, neutrosophic proximally ...
Qiming Zhao, A. Sreelakshmi Unni, V. Pragadeeswarar, Yongqiao Wang   +3 more
doaj   +1 more source

Some Iterations of Best Proximity Point

Wasit Journal for Pure Sciences
The aim of this paper is to investigate the convergence of two types of iterative methods , that is Manna and Ishikawa  to the optimal proximity points for cyclic Kannan and Chatterjee mappings defined on Banach spaces .
Jowan Hassan
doaj   +1 more source

Prešić Type Nonself Operators and Related Best Proximity Results

Mathematics, 2019
The purpose of this article is to discuss the existence of best proximity points for Pre s ˇ i c ´ -type nonself operators, say T : A k → B . We also give several examples to support our results.
Muhammad Usman Ali, Misbah Farheen, Tayyab Kamran, Georgeta Maniu   +3 more
doaj   +1 more source

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

Fixed 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, Metiya, Nikhilesh, Postolache, Mihai, Konar, Pulak   +3 more
openaire   +2 more sources

Results on the Existence and Convergence of Best Proximity Points [PDF]

Fixed Point Theory and Applications, 2010
AbstractWe first consider a cyclic "Equation missing"-contraction map on a reflexive Banach space "Equation missing" and provide a positive answer to a question raised by Al-Thagafi and Shahzad on the existence of best proximity points for cyclic "Equation missing"-contraction maps in reflexive Banach spaces in one of their works (2009).
Ali Abkar, Moosa Gabeleh
openaire   +4 more sources

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

FEBS 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, Shin Morioka, Junko Sasaki, Takehiko Sasaki   +3 more
wiley   +1 more source

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

FEBS 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, Jan Brysch, Carmen Gelze, Lilli Meier, Daniel Kümmel   +4 more
wiley   +1 more source

Generalization of simulation functions for finding best proximity pair, best proximity point and best proximity coincidence point

Filomat
In the setup of metric spaces, many recent studies established a significant variety of control type mappings and illustrated some fixed point results. To represent various contractivity conditions, Khojasteh et al. have established the idea of a simulation function and came up with certain conclusions about the fixed point. For two nonlinear operators
P PaunovicMarija, Mohammad Haddadi, Vahid Parvaneh   +2 more
openaire   +1 more source