Results 61 to 70 of about 8,011,019 (282)

Best proximity point results for generalization of ̌–̌ proximal contractive mapping in fuzzy banach spaces [PDF]

open access: yes, 2022
The best proximity point is a generalization of a fixed point that is beneficial when the contraction map is not a self-map. On other hand, best approximation theorems provide an approximate solution to the fixed-point equation Tҳ = ҳ.
A. Ahmed, Buthainah   +3 more
core   +1 more source

Autophagy and mitophagy in pancreatic β‐cell homeostasis and their involvement in diabetes pathophysiology

open access: yesFEBS Letters, EarlyView.
This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee   +2 more
wiley   +1 more source

φ-Best proximity point theorems and applications to variational inequality problems

open access: yes, 2017
The main concern of this study is to introduce the notion of φ-best proximity points and establish the existence and uniqueness of φ-best proximity point for non-self mappings satisfying (F,φ)-proximal and (F,φ)-weak proximal contraction conditions in ...
Isik, Huseyin   +9 more
core   +1 more source

Functional comparison of EncB and EncC cargo proteins in iron storage within the Myxococcus xanthus encapsulin

open access: yesFEBS Letters, EarlyView.
Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell   +2 more
wiley   +1 more source

Existence of coupled coincidence best proximity point [PDF]

open access: yesSurveys in Mathematics and its Applications
This work of optimality is engaged with couple coincidence best proximity point. We have developed some optimal results where control functions and non-linear weak inequalities are evident. Further using our results, we establish some fixed point results.
Pulak Konar, Sumit Chandok
doaj  

Best Proximity Point Results on Strong b-Metric Spaces

open access: yesJournal of New Theory, 2021
In the present paper, we prove the two best proximity point results on strong b-metric spaces with coefficient λ by introducing two new concepts which are named as BW b-contraction and proximal BW b-contraction.
Mustafa Aslantaş
doaj  

Structures of mycobacterial 3‐methylcrotonyl‐CoA carboxylase reveal carrier‐domain translocation between catalytic sites

open access: yesFEBS Letters, EarlyView.
Mycobacterial 3‐methylcrotonyl‐CoA carboxylase uses a mobile biotin‐carrying domain to shuttle a carboxyl group between two catalytic sites, enabling carboxylation of 3‐methylcrotonyl‐CoA during leucine breakdown. Cryo‐electron microscopy captures the carrier at both sites and reveals an inward loop movement that may prevent futile rebinding to the ...
Ajit Yadav   +2 more
wiley   +1 more source

Common best proximity point theorems for certain types of mappings

open access: yes
summary:Let $S$ and $T$ be two single-valued non-self-mappings from a nonempty set $\mathcal {P}$ to another nonempty set $\mathcal {Q}$. As they are non-self-mappings, the equations $Sx=x$ and $Tx=x$ do not have a common solution.
Murali, Arunachalam   +1 more
core   +1 more source

Best proximity points in ℱ-metric spaces with applications

open access: yesDemonstratio Mathematica, 2023
The aim of this article is to introduce α\alpha -ψ\psi -proximal contraction in the setting of ℱ-metric space and prove the existence of best proximity points for these contractions.
Lateef Durdana
doaj   +1 more source

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