Results 61 to 70 of about 1,365,357 (275)

Fundamental Characteristics of the Product-Operated Metric Spaces

Axioms
In the field of metric fixed point theory, there are several generalized or modified types of metric space. One such type is called multiplicative metric space. It was initially introduced as a modified version of the metric space, but was later found to
Muhammad Usman Ali, Salvatore Sessa, Yahya Almalki, Monairah Alansari   +3 more
doaj   +1 more source

Function valued metric spaces [PDF]

Surveys in Mathematics and its Applications, 2010
In this paper we introduce the notion of an ℱ-metric, as a function valued distance mapping, on a set X and we investigate the theory of ℱ-metrics paces.
Madjid Mirzavaziri
doaj  

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces

Fixed Point Theory and Applications, 2008
We prove some fixed point results for mapping satisfying sufficient conditions on complete G-metric space, also we showed that if the G-metric space (X,G) is symmetric, then the existence and uniqueness of these fixed point results follow from well ...
Fadi Awawdeh, Hamed Obiedat, Zead Mustafa   +2 more
doaj   +1 more source

On the Structure of Metric-like Spaces [PDF]

Sahand Communications in Mathematical Analysis, 2019
The main purpose of this paper is to introduce several concepts of the metric-like spaces. For instance, we define concepts such as equal-like points, cluster points and completely separate points.
Amin Hosseini, Ajda Fosner
doaj   +1 more source

The neural crest‐associated gene ERRFI1 is involved in melanoma progression and resistance toward targeted therapy

Molecular Oncology, EarlyView.
ERRFI1, a neural crest (NC)‐associated gene, was upregulated in melanoma and negatively correlated with the expression of melanocytic differentiation markers and the susceptibility of melanoma cells toward BRAF inhibitors (BRAFi). Knocking down ERRFI1 significantly increased the sensitivity of melanoma cells to BRAFi.
Nina Wang, Qian Sun, Daniel Novak, Lei Zhu, Juliane Poelchen, Tamara Steinfass, Yiman Wang, Viktor Umansky, Jochen Utikal   +8 more
wiley   +1 more source

Neutrosophic Triplet v-Generalized Metric Space

Axioms, 2018
The notion of Neutrosophic triplet (NT) is a new theory in Neutrosophy. Also, the v-generalized metric is a specific form of the classical metrics. In this study, we introduced the notion of neutrosophic triplet v-generalized metric space (NTVGM), and we
Memet Şahin, Abdullah Kargın
doaj   +1 more source

On Fixed Point Findings for Diverse Contractions in b Dislocated-Multiplicative Metric Spaces

Journal of Mathematics, 2021
In our present research study, we present the idea of b dislocated-multiplicative metric space (abbrev. bd-multiplicative metric space) that is generalization of b-multiplicative metric space and dislocated-multiplicative metric space.
A. Kamal, Asmaa M. Abd-Elal
doaj   +1 more source

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

A COMPLETION THEOREM FOR COMPLEX VALUED S-METRIC SPACE

Barekeng
Any complex valued S-metric space where each Cauchy sequence converges to a point in this space is said to be complete. However, there are complex valued S-metric spaces that are incomplete but can be completed.
Mariatul Kiftiah, Yundari Yundari, Suryani Suryani, Nover Lauren   +3 more
doaj   +1 more source