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The FBMINC model is based on fractional Brownian motion (fBm) which is generalization of regular Brownian motion.
In this paper, we introduce and study some properties of the following sequence space which is generalization of Savaş [14].
The model can well describe many practical architectures of delayed neural networks, which is generalization of some existing neural networks under a time-varying environment.
Recently Huang and Zhang [13] introduced a cone metric space with a normal cone with a constant K, which is generalization of a metric space.
In this paper, a new class of functions called semilocal E-preinvex functions is introduced, which is generalization of semi-E-preinvex functions and semilocal E-convex functions.
This model can well describe many practical architectures of delayed neural networks, which is generalization of some additive delayed neural networks such as delayed Hopfied neural networks and delayed cellular neural networks, under a time-varying environment, particularly when the network parameters and input stimuli are varied periodically with time.
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In this paper we establish atomic decompositions of some weak Orlicz-Lorentz martingale spaces which are generalization of Orlicz martingale spaces and of Lorentz martingale spaces.
By using the theorems, we obtain some coupled and multidimensional fixed point results, which are generalization and improvement of very recent theorems in the corresponding literature.
K-convex multifunctions, which are generalization of vector-valued convex functions, have wide applications in optimization (cf. [30]) and play an important role in various questions of convex analysis (cf. [31]).
Recently, by using the measure theory, Blot, Cieutat and Ezzinbi [19, 20] introduced the concepts of μ-pseudo almost periodicity and μ-pseudo almost automorphy which are generalization of weighted pseudo almost periodicity and weighted pseudo almost automorphy, respectively.
In a different wording: The Pythagorean theorem can be generalized to inner product spaces, which are generalizations of the familiar 2-dimensional and 3-dimensional Euclidean spaces.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com