Klatt, M Munk, A Zemel, Y

Abstract
We consider a general linear program in standard form whose right-hand side constraint vector is subject to random perturbations. For the corresponding random linear program, we characterize under general assumptions the random fluctuations of the empirical optimal solutions around their population quantities after standardization by a dist...

Barbara, A Jourani, A

This paper deals with error bound characterizations of Guignard's qualification condition for a convex inequality system in a Banach space X. We establish necessary and sufficient conditions for a closed convex set S defined by a convex function g to have Guignard's condition. These conditions are expressed in terms of the notion of error bound. Ou...

Ghosh, Sudipta Kumar Nahak, C. Agarwal, Ravi P.
Published in
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas

In this paper, we propose a new kind of non-linear contraction mappings in the structure of Gb\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G_b$$\end{document}-metric...

Mayoufi, Abir Victor, Stéphane Chetoui, Manel Malti, Rachid Aoun, Mohamed
Published in
Fractional Calculus and Applied Analysis

This paper deals with system identification for continuous-time multiple-input single-output (MISO) fractional differentiation models. An output error optimization algorithm is proposed for estimating all parameters, namely the coefficients and the differentiation orders. Given the high number of parameters to be estimated, the output error method ...

Fotsa-Mbogne, David Jaurès Tchoumi, Stéphane Yanick Kouakep-Tchaptchie, Yannick Kamla, Vivient Corneille Kamgang, Jean-Claude Houpa-Danga, Duplex Elvis Bowong-Tsakou, Samuel Bekolle, David
Published in
Nonlinear dynamics

This work aims at a better understanding and the optimal control of the spread of the new severe acute respiratory corona virus 2 (SARS-CoV-2). A multi-scale model giving insights on the virus population dynamics, the transmission process and the infection mechanism is proposed first. Indeed, there are human to human virus transmission, human to en...

Jana, Dipak Kumar Das, Asim Kumar
Published in
International Journal of Applied and Computational Mathematics

In this paper we introduce a more generalized inventory model for deteriorating item where the memory effect is taken into consideration to analyze for generalization of our concept. Memory effect in inventory system is introduced here through the viable ideas of fractional calculus approach. Fractional Calculus has a proficiency through which we c...

Prudnikov, Igor M.
Published in
Operations Research Forum

The author studied codifferentiable functions introduced by Professor V.F. Demyanov and a method for calculating their subdifferentials and codifferentials. The proven theorems give the rules for calculating the subdifferentials. It was shown that the subdifferential of the first order, introduced by the author, coincides with the Demyanov’s differ...

Deng, Xicai Zhao, Wei
Published in
Journal of Inequalities and Applications

In this paper, we deal with the sensitivity analysis in vector equilibrium problems by using the S-derivative of a set-valued mapping. We first investigate the S-derivative on a kind of set-valued gap function for the vector equilibrium problems. Based on these results, S-derivative estimations on a perturbed mapping for the parametric vector equil...

Zhang, Jiantang Huang, Sixun Cheng, Jin
Published in
Journal of Inverse and Ill-posed Problems

Parameter estimation in chaotic dynamical systems is an important and practical issue. Nevertheless, the high-dimensionality and the sensitive dependence on initial conditions typically makes the problem difficult to solve. In this paper, we propose an innovative parameter estimation approach, utilizing numerical differentiation for observation dat...

Orera, Héctor Peña, Juan Manuel
Published in
Computational and Applied Mathematics

It is proved that any BπR\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$B_{\pi }^R$$\end{document}-matrix has positive determinant. For π>0\documentclass[12pt]{minimal...