Results 31 to 40 of about 7,133 (253)
Some Fixed Point Theorems in Generalized Probabilistic Metric Spaces
Abstract and Applied Analysis, 2014 We introduce the concepts of (H,ψ,Φ)-contraction and probabilistic (α,φ)-contraction mappings in generalized probabilistic metric spaces and prove some fixed point theorems for such two types of mappings in generalized probabilistic metric spaces.
Chuanxi Zhu, Wenqing Xu, Zhaoqi Wu
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P-Cyclic C-Contraction Result in Menger Spaces Using a Control Function
Demonstratio Mathematica, 2016 The intrinsic flexibility of probabilistic metric spaces makes it possible to extend the idea of contraction mapping in several inequivalent ways, one of which being the C-contraction. Cyclic contractions are another type of contractions used extensively
Choudhury B. S., Bhandari S. K.
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Axioms, 2023 The aim of this paper is to give some fixed point results in generalized Menger probabilistic metric spaces. Moreover, some nontrivial examples are presented to illustrate the superiority of the obtained results.
Huaping Huang +3 more
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Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces
Fixed Point Theory and Applications, 2009 We prove a general Ulam-Hyers stability theorem for a nonlinear equation in probabilistic metric spaces, which is then used to obtain stability properties for different kinds of functional equations (linear functional equations, generalized equation of ...
Viorel Radu, Liviu Cădariu
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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A note on φ-contractions in probabilistic and fuzzy metric spaces [PDF]
Fuzzy Sets and Systems, 2017 [EN] In a recent paper Fang (2015) [1], J.X. Fang generalized a crucial fixed point theorem for probabilistic phi-contractions on complete Menger spaces due to Jachymski (2010) [3]. In this note we show that actually Fang s theorem is an easy consequence of Jachymski s theorem. We also observe that the proof of a fixed point theorem for complete metric
Carmen Alegre, Salvador Romaguera
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Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
FEBS Letters, EarlyView.EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
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پژوهشهای ریاضی, 2021 In this paper, first by using the constructions of probabilistic b-metric Menger space and probabilistic metric like Menger space, we introduce probabilistic b-metric like Menger space and present some examples of it.
Mahnaz Khanehgir, Reza Allahyari
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Artificial molecular machines and motors—Design and control of nanoscale motion
FEBS Letters, EarlyView.Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
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AxiomsIn this study, we establish several coupled fixed point results in quantale-valued quasi-metric spaces (QVQMSs), which constitutes a generalization of metric and probabilistic metric spaces. The obtained results will be illustrated with concrete examples.
Irem Eroğlu
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