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...

Static field classical configurations in (1+1)-dimensions for new non-linear potential models are investigated from an isospectral potential class and the concept of bosonic zeromode solution. One of the models here considered has a static non-topological configuration with a single vacuum state that breaks supersymmetry. PACS numbers: 11.30.Pb, 03.65.Fd, 11.10.Ef ∗Permanent address: Departamen...

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.