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Subjects / keywords: applied mathematics, analysis, topology, fixed point theory, optimization; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematics...

Subjects / keywords: mathematics, nonlinear phenomena, fixed point analysis; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematics: Analysis

In this paper, we introduce a family of topologies τp on metric-type spaces (MTSs) using powers of the ϖb-distance. Moreover, we investigate fundamental topological properties, including convergence, closed sets, Cauch...

Abstract We consider application of the analytic functional approach to the conformal field theories associated with mean field theory and Wilson–Fisher fixed point. We study the constraints imposed by the crossing sym...

ObjectiveRescue drilling rigs undergo intense vibration at borehole mouths when operating in a confined underground space of coal mines. To address this issue, this study designed a compact multi-directional, passive dyn...

In this paper, we develop a systematic framework for studying fixed-point theory in the setting of normed GE-algebras. Building on the GE-norm, we introduce and analyze nonexpansive mappings, α-averaged mappings, and en...

Abstract Magnetic singularities known as Bloch points (BPs) present a fundamental challenge for micromagnetic theory, which is based on the assumption of a fixed magnetization vector length. Due to the divergence of the ...

Discretization of continuous models can do more than approximate their dynamics; it can fundamentally transform their dynamical behavior, such as the complex dynamical behavior that translates the system to a chaotic sta...

In the first half of this paper, we present a fresh perspective toward the Wind Triangle Problem in aerial navigation by deriving necessary and sufficient conditions, which we call "go/no-go conditions", for the existenc...

Abstract In aerospace engineering, design and optimization of mechanical structures are usually performed with respect to elastic limit. Besides causing insufficient use of the material, such design concept fails to meet...

Since economic theory identifies new enterprises as one of the basic drivers of economic growth, it brings to the forefront the need to understand the existing dynamics of entrepreneurship. Consequently, the identifica...

We study the crossover between equilibrium and off-equilibrium dynamical universality classes in the Vicsek model near its ordering transition. Starting from the incompressible hydrodynamic theory of Chen et al. [Critica...

In this paper, we study the existence and uniqueness of a mild solution of a nonlinear mixed Volterra – Fredholm integro-differential equation with nonlocal condition in Banach space. Furthermore, we study continuouce ...

Economic theory has suffered in the past from a failure to state clearly its assumptions. Economists in building up a theory have often omitted to examine the foundations on which it was erected. This examination is, how...

This paper develops the statistical theory for testing and estimating multiple change points in regression models. The rate of convergence and limiting distribution for the estimated parameters are obtained. Several test...

Subjects / keywords: functional analysis, approximation theory, iteration methods, fixed point theory, nonsmooth analysis, variational analysis; Science: Mathematics