For a nonsmooth multiobjective mathematical programming problem governed by infinitely many constraints‎, ‎we define a new gap function that generalizes the definitions of this concept in other articles‎. ‎Then‎, ‎we characterize the efficient‎, ‎weakly efficient‎, ‎and properly efficient solutions of the problem utilizing this new gap function‎. ‎Our results are based on $(Phi,rho)-$invexity‎,...

his paper presents the estimator of conditional density function surrogated scalar response variable given a functional random one. We construct by using available (true) data and surrogate data. Then, we build up some asymptotic properties constructed in terms almost complete convergences. As result, compare our with classical through Relatif Mean Square Errors (RMSE). Finally, end this analys...

The present paper aims at investigating the manner of two dissipative massive scalar fields. Two massive scalar fields that interact with a reservoir were considered and a reservoir was modeled by continuum Klein-Gordon fields. The Lagrangian of the total system was canonically quantized and the dynamics of the system was determined using the Euler-Lagrange equation. Then, the explicit form of the...

In this paper we develop and generalize the estimator of regression function for surrogate scalar response variable given a functional random one. Then, build up some asymptotic properties in terms almost complete convergences, depending result show superiority our term prediction.

This article presents 18 magnetic reconnection electron diffusion region (EDR) candidates found using a neural network algorithm with the Magnetospheric Multiscale Mission phase 1a data at Earth's dayside magnetopause. These new are compared to 32 previously reported EDRs listed in Webster et al. (2018), https://doi.org/10.1029/2018ja025245, which constitute training database of our algorithm. ...

Examples of nonsingular cosmological models are presented on the basis of exact solutions to multidimensional gravity equations. These examples involve pure imaginary scalar fields, or, in other terms, “phantom” fields with an unusual sign of the kinetic term in the Lagrangian. We show that, with such fields, hyperbolic nonsingular models with a cosmological bounce (unlike spherical and spatial...