Results 71 to 80 of about 1,413,634 (303)

Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings

Journal of Mathematics, 2021
The newest generalization of the Banach contraction through the notions of the generalized F-contraction, simulation function, and admissible function is introduced.
A. P. Farajzadeh, M. Delfani, Y. H. Wang
doaj   +1 more source

KDAC6 alters cell morphology and motility through positive and negative modulation of F‐actin distribution

FEBS Open Bio, EarlyView.
KDAC6 has been associated with cell motility and actin structures, but specific domain contributions are not established. The two catalytic domains have differential effects on motility and F‐actin regulation, affecting cortical F‐actin density, motility, stress fibers, and cell spreading.
Taylor V. Joseph, Andrea B. Pham, Kiara E. Bornes, Razan H. Hammad, Chelsea A. Rousseve‐Ross, Thomas M. Huckaba, Terry J. Watt, Tasha B. Toro   +7 more
wiley   +1 more source

Structural studies and functional engineering of NanX: an anhydro‐sialic acid transporter from Escherichia coli

FEBS Open Bio, EarlyView.
Biophysical characterisation shows that NanX, a membrane transport protein from the major facilitator superfamily (MFS), forms both monomers and dimers after purification. AlphaFold modelling and substrate docking provide information on residues likely involved in substrate recognition for NanX and another MFS member, NanT.
Michael C. Newton‐Vesty, Kelsi R. Hall, Zachary D. Tillett, Liam S. Turk, James S. Davies, Michael J. Currie, Hamish G. Brown, Sepideh Valimehr, Peter D. Mace, Andrew E. Whitten, Santosh Panjikar, Eric Hanssen, Rachel A. North, Renwick C.J. Dobson   +13 more
wiley   +1 more source

Significance of F-Contraction After Proinov’s Fixed-Point Results

Journal of Function Spaces
Wardowski laid out his idea of an F-contraction mapping, which provides an imperative generalization of the Banach contraction principle, back in 2012. Although Wardowski’s work has generated considerable interest in fixed-point theory, motivating many ...
Naeem Saleem, Shahid Bashir, Ali Althobaiti, Imran Zulfiqar Cheema   +3 more
doaj   +1 more source

Adenosine triphosphate as a modulator of protein interactions and stability

FEBS Open Bio, EarlyView.
ATP is best known as the cell's energy currency, but it also shapes how proteins fold, interact, aggregate and form biomolecular condensates. This review explains the emerging physical principles behind these effects, including weak binding to charged protein regions, magnesium‐dependent behaviour and concentration‐dependent control of protein ...
Shuyuan Tan, Robin Curtis
wiley   +1 more source

Generalized contraction mapping in probabilistic metric space

, 1970
The probabilistic metric space as one of the important generalization of metric space was introduced by K. Menger in 1942. In this paper, we briefly discuss the historical developments of contraction mappings in probabilistic metric space with some fixed
Shams-ur Rahman, K Jha
core   +1 more source

Investigation of the fixed-point theorem on a complete cone metric space [PDF]

ITM Web of Conferences
Metric space is the one of topics in mathematical analysis which is still being studied and developed. Previous research has extended the contraction mappings and completeness properties from metric spaces to other spaces such as cone metric spaces. This
Rahma Zuhra, Hafnani Hafnani, Rini Oktavia   +2 more
doaj   +1 more source

Contractive mappings on a premetric space [PDF]

International Journal of Mathematics and Mathematical Sciences, 1985
In this paper, we study the fixed point property of certain types of contractive mappings defined on a premetric space. The applications of these results to topological vector spaces and to metric spaces are also discussed.
Shen, C.Y., Sound, A.
openaire   +3 more sources

GelMA‐based 3D spheroids recapitulate transcriptomic and functional hallmarks of myeloid sarcoma

FEBS Open Bio, EarlyView.
GelMA 5% hydrogels support the formation of myeloid leukemia spheroids that recapitulate MS‐specific features, including G1 arrest, apoptosis, and ECM‐driven transcriptomic reprogramming. The 3D model mimicked soft‐tissue‐like stiffness and oxygen conditions, and transcriptomic convergence with primary MS samples confirmed its utility as a preclinical ...
Nicolas Germain, Elise Buret, Le Hoang Thanh Nguyen, Marion Cocheteux, Nicolas Touya, Mélanie Dhayer, Romain Dubois, Frank Lafont, Sebastien Janel, Patrice Maboudou, Steve Lancel, Philippe Marchetti   +11 more
wiley   +1 more source

A note on the extension of contractive mappings [PDF]

Proceedings of the American Mathematical Society, 1973
In this note a question posed by J. D. Bryant and L. F. Guseman, Jr. is answered. It is shown that for dense subsets of finite dimensional Banach spaces, the iterative test being conclusive and the contractive extension property are not equivalent. If
openaire   +1 more source