On 0-Complete Partial Metric Spaces and Quantitative Fixed Point Techniques in Denotational Semantics by N. Shahzad, O. Valero

“…Concretely, Matthews proved a partial metric version of the celebrated Banach fixed point theorem which has become an appropriate quantitative fixed point technique to capture the meaning of recursive denotational specifications in programming languages. …”
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Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder’s Fixed Point Theorem by Xinguang Zhang, Cuiling Mao, Yonghong Wu, Hua Su

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Exploring Proinov-type and Banach-type contractions in fuzzy bipolar metric spaces by Koon Sang Wong, Zabidin Salleh, Habibulla Akhadkulov, Utkir Nematovich Kuljanov

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Self-Supervised Deep Hyperspectral Inpainting with Plug-and-Play and Deep Image Prior Models by Shuo Li, Mehrdad Yaghoobi

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UConvex Coefficient of Banach Space by WANG Jing, CUI Yunan

“…The spatial geometric constant is the quantification of the geometrical properties of space From the study of geometric properties to the calculation of geometric constants from qualitative to quantitative advancement Firstly, this paper introduces a new geometric constant Uconvex coefficient Studying its relationship with geometric properties such as uniform nonsquare and regular structures and by studying its relationship with constants, the Banach space is weakly close to uniform smooth and has fixed point properties Secondly, Using the relationship between it and weak orthogonal coefficients gives a sufficient condition for Banach spaces to have a regular structure Finally, the calculation of the convex model in the sequence space is given…”
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A novel quantitative analysis method for idiopathic epiretinal membrane. by Davide Allegrini, Giovanni Montesano, Stefania Marconi, Nicoletta Rosso, Giovanni Ometto, Raffaele Raimondi, Ferdinando Auricchio, Panagiotis Tsoutsanis, Francesco Semeraro, Matteo Cacciatori, David P Crabb, Mario R Romano

“…<h4>Purpose</h4>To introduce a novel method to quantitively analyse in three dimensions traction forces in a vast area of the ocular posterior pole.…”
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Quantitative analysis of idiopathic epiretinal membrane traction: an updated version of the relaxation index by Davide Allegrini, Raffaele Raimondi, Giovanni Montesano, Giovanni Montesano, Marco Caruso, Giovanna Lionetti, Adriano Carnevali, Tania Sorrentino, Vincenzo Scorcia, Mario R. Romano, Mario R. Romano

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Quantitative analysis and stability results in $ \beta $-normed space for sequential differential equations with variable coefficients involving two fractional derivatives by Debao Yan

“…The original problem was converted into an equivalent integral equation. Banach's fixed-point principle and Shaefer's fixed-point theorem were exploited to ensure that two existence conditions of the solutions for the problems were established. …”
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Talc, ovarian cancer, and recall bias in the sister study by Julie E. Goodman, Denali Boon, Robyn L. Prueitt

“…Additional analyses (e.g., using distributions of recall bias rather than fixed point estimates) may allow for a more complete characterization of the potential impact of recall bias, including a better characterization of the uncertainty around the bias-corrected effect estimates. …”
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Leveraging environmental DNA (eDNA) to optimize targeted removal of invasive fishes by Jennie J. Wiggins, Vanessa D. Tobias, Erika F. Holcombe, Katie Karpenko, Eric R. Huber, Andrew C. Goodman

“…This main study consisted of two phases: (1) a fixed-point DNA study to calibrate a model of dispersal and attenuation rate, and (2) a loach removal phase. …”
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Three-Order Multipoint Boundary Value Problems for p-Laplacian Operator on Time Scales by Hua Su

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On the Nonhomogeneous Fourth-Order p-Laplacian Generalized Sturm-Liouville Nonlocal Boundary Value Problems by Jian Liu, Zengqin Zhao

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Dynamic reconstruction of electroencephalogram data using RBF neural networks by Xuan Wang, Congcong Du, Xianjin Ke, Jian Zhang, Zheng Zheng, Yayan Yue, Ming Yu

“…Importantly analysis of RBF network fixed-point coordinates revealed distinct age-related.DiscussionThese findings suggest that fixed-point coordinates of RBF networks can serve as quantitative markers aging providing new insights into age-dependent changes in brain dynamics. …”
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Solutions for p-Laplacian Dynamic Delay Differential Equations on Time Scales by Hua Su, Lishan Liu, Xinjun Wang

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Mathematical modeling of tumor-immune dynamics: stability, control, and synchronization via fractional calculus and numerical optimization by Safoura Rezaei Aderyani, Reza Saadati, Fatemeh Rezaei Aderyani, Osman Tunç

“…The first model employs fractal-fractional derivatives, specifically the Atangana-Baleanu operator, to analyze tumor-immune dynamics from both qualitative and quantitative perspectives. We establish the well-posedness of this model by demonstrating the existence and uniqueness of solutions through fixed point theorems and examine stability via nonlinear analysis. …”
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Image Mosaic Based on Local Guidance and Dark Channel Prior by Chong Zhang, Fang Xu, Dejiang Wang, He Sun

“…The proposed algorithm is assessed through intuitive renderings and quantitative values. Furthermore, the proposed method is compared with other common stitching methods. …”
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Positive Solutions of a Nonlinear Fourth-Order Dynamic Eigenvalue Problem on Time Scales by Hua Luo, Chenghua Gao

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Investigating Global Stability and Bifurcation in an Ecological Dynamical System by Muhammad Salman Khan, Rizwan Niaz, Mohammed Ahmed Alomair, Mohamed Hussien

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Unraveling Atherosclerosis: A Nonlinear Coupled Mathematical Model with Dual Free Boundaries - Solution and Numerical Insights by Yarong Zhang, Xiaoya Mu, Ji-Huan He

“…The employment of the fixed-point theorem ensures the establishment of both local and global existence and uniqueness of the solution, thereby fortifying the model's theoretical foundation. …”
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Spatial Semantic Expression of Terrain Viewshed: A Data Mining Method by Cheng Zhang, Yiwen Wang, Haozhe Cheng, Wanfeng Dou

“…The model analyzes and describes the spatial features of the viewshed through quantitative and qualitative methods. These metric features provide a basis for constructing spatial topological relationships between observation points and viewsheds, helping optimize viewpoint selection and enhance landscape planning. …”
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