Article
Mathematics
Ammara Nosheen, Aneeqa Aslam, Khuram Ali Khan, Khalid Mahmood Awan, Hamid Reza Moradi
Summary: The study extends sneak-out inequalities on time scales for functions depending on more than one parameter. The results are proved using the induction principle and time scale version of Minkowski inequalities. Applications of these inequalities in classical, discrete, and quantum calculus are discussed.
JOURNAL OF MATHEMATICS
(2021)
Article
Computer Science, Artificial Intelligence
Xinsong Yang, Xingxing Ju, Peng Shi, Guanghui Wen
Summary: This article proposes two novel projection neural networks (PNNs) with fixed-time convergence to deal with variational inequality problems and provides more accurate upper bounds. The robustness of the networks under bounded noises and their applications to other problems are also studied.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2023)
Article
Mathematics, Applied
Luping Liu, Wensheng Jia, Li Zhou
Summary: The paper aims to establish a new model with strategy transformational barriers for generalized multileader multifollower multiple objective games (GMLMFMOG) and derive new results on weakly Pareto-Nash equilibrium (WPNE) with strategy transformational barriers for GMLMFMOG. Using the Kakutani-Fan-Glicksberg fixed point theory, the existence of WPNE with strategy transformational barriers for GMLMFMOG is investigated. Moreover, the generic stability of GMLMFMOG with strategy transformational barriers in Hausdorff space is studied. The majority of WPNE with strategy transformational barriers for GMLMFMOG are found to be significant in the context of Baire's category, and at least one essential component for GMLMFMOG with strategy transformational barriers is demonstrated.
JOURNAL OF FUNCTION SPACES
(2022)
Article
Operations Research & Management Science
Lv Siyu, Zhen Wu, Qing Zhang
Summary: This paper focuses on the Dynkin game and models the dynamics of the system using a regime switching diffusion. The value function of the game problem is shown to be the unique viscosity solution to the associated variational inequalities using penalization and dynamic programming. Additionally, a financial example of pricing game option under a regime switching market is presented to demonstrate the optimal stopping rules for the buyer and seller and the fair price of the option.
ANNALS OF OPERATIONS RESEARCH
(2022)
Article
Mathematics
Assis Azevedo, Davide Azevedo, Lisa Santos
Summary: This study proves the existence of a pseudo-metric (L) over bar (g) such that u(x) := min(y is an element of(Omega) over bar){psi(y) + (L) over bar (g)(x, y)} is a subsolution of the Hamilton-Jacobi equation with obstacle max{vertical bar del u vertical bar - g, u - psi} = 0, given g and psi non-negative functions belonging to L-infinity (Omega) and W (1,p)(0) (Omega) boolean AND C((Omega) over bar), respectively. Furthermore, it demonstrates the Mosco convergence of K-gn,K-psi n to K-g,K-psi as g(n) converges to g in L-infinity(Omega) and psi(n) to psi in C((Omega) over bar), and establishes a stability result for the solutions u(n) of variational inequalities defined in the convex sets K-gn,K-psi n.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2023)
Article
Mathematics, Applied
Paolo Piersanti, Kristen White, Bogdan Dragnea, Roger Temam
Summary: This paper presents a three-dimensional discrete model for studying the deformation of a viral capsid. The model is shown to have a unique solution and its outputs in numerical experiments are consistent with physics. The existence of solutions for a time-dependent version of the obstacle problem is also established.
ANALYSIS AND APPLICATIONS
(2022)
Article
Multidisciplinary Sciences
Jiangming Ma, Muhammad Aslam Noor, Khalida Inayat Noor
Summary: This article explores the connection between equilibrium problems and variational inequalities with symmetry concepts, introducing new generalized preinvex functions and discussing their application in normed spaces. It presents new inertial methods for solving higher order directional equilibrium-like problems, along with discussions on convergence criteria and unresolved issues.
Article
Physics, Multidisciplinary
Mathias Gartner, Ferran Mazzanti, Robert Zillich
Summary: We studied the dynamics of a one-dimensional Bose gas in both shallow and deep optical lattices by monitoring the linear response to a weak probe pulse. We introduced a new method based on the timedependent variational Monte Carlo method (tVMC) to evolve the system in real time. The results showed good agreement with exact diagonalization results in deep optical lattices, and the influence of higher Bloch bands in shallow lattices was observed. We also demonstrated that the full excitation spectrum can be retrieved from the power spectrum of the density fluctuations due to the stochastic noise inherent in any Monte Carlo method.
Article
Mathematics, Interdisciplinary Applications
Gaspar Alfaro, Miguel A. F. Sanjuan
Summary: This article presents the public goods game model and discusses the impact of cooperation, defection, and punishment strategies on cooperation. The study finds that oscillations in productivity and the delay in punishment time both have negative effects on cooperation.
CHAOS SOLITONS & FRACTALS
(2022)
Article
Public, Environmental & Occupational Health
Martin K. Mutua, Shukri F. Mohamed, Julia M. Porth, Cheikh M. Faye
Summary: Vaccination coverage has improved in the past decade, but inequalities in on-time vaccination persist in Sub-Saharan Africa, with differences observed by place of residence, household wealth, and maternal education. Concrete strategies are needed to improve timeliness levels in the region.
AMERICAN JOURNAL OF PREVENTIVE MEDICINE
(2021)
Article
Computer Science, Software Engineering
Hailin Sun, Alexander Shapiro, Xiaojun Chen
Summary: This paper proposes a formulation of the distributionally robust variational inequality (DRVI) to handle uncertainties in the distributions of random variables in variational inequalities. The existence of solutions and monotonicity of the DRVI are discussed, and a sample average approximation (SAA) approach is proposed and studied for convergence. Numerical examples are provided to illustrate the solutions and convergence properties of the proposed methods.
MATHEMATICAL PROGRAMMING
(2023)
Article
Mathematics
Igor Kukavica, Quinn Le
Summary: This paper investigates the quantitative uniqueness properties for a parabolic type equation, proving a strong unique continuation property and providing a pointwise observability estimate.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2022)
Article
Economics
Terry L. Friesz, Ke Han, Amir Bagherzadeh
Summary: This paper presents sufficient conditions for convergence of projection and fixed-point algorithms used to compute dynamic user equilibrium with elastic travel demand, without the need for strongly monotone increasing path delay operators. Instead, weakly monotone increasing path delay operators and strongly monotone decreasing inverse demand functions are assumed. The Lipschitz continuity of path delay is a mild regularity condition, allowing for convergence even with nonmonotone delay operators under certain conditions.
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL
(2021)
Article
Engineering, Mechanical
Haitao Liu, Changjun Liu, Xiaomo Jiang, Xudong Chen, Shuhua Yang, Xiaofang Wang
Summary: This study proposes a data-driven deep probabilistic sequence model by combining deep generative models and state space models. The model utilizes recurrent neural networks (RNNs) to create a variational sequence model in an augmented recurrent input space, inducing rich stochastic sequence dependency. Extensive numerical experiments demonstrate the superior performance of the model in system identification and prediction tasks.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Chemistry, Inorganic & Nuclear
Carla Cunha, Andrea Pinto, Adelino Galvao, Laura Rodriguez, J. Sergio Seixas de Melo
Summary: This study synthesized three gold(I) complexes with aggregation-induced emission (AIE) characteristics and investigated their photophysical properties. The compounds exhibited high luminescence quantum yields in the solid state and demonstrated AIE effects in acetonitrile/water mixtures. The electronic calculations provided insights into the nature of the AIE effect involving dimer formations.
INORGANIC CHEMISTRY
(2022)
