Affiliation:
1. LAOTI Laboratory , Department of Mathematics , [ 339693]University of Jijel, Bp 98, Ouled Aissa , Jijel , Algeria
Abstract
Abstract
The aim of this article is to present, in a specific metric space, a density theorem.
Then, as an application, we give a relaxation theorem for a first-order set-differential inclusion,
through an abstract convexity notion.
Reference29 articles.
1. D. Azzam-Laouir and F. Bounama,
Second-order differential inclusions with Lipschitz right-hand sides,
Electron. J. Differential Equations 2010 (2010), Paper No. 85.
2. D. Azzam-Laouir, A. Makhlouf and L. Thibault,
Existence and relaxation theorem for a second order differential inclusion,
Numer. Funct. Anal. Optim. 31 (2010), no. 10, 1103–1119.
3. M. Benamara,
Sections mesurables extrémales d’une multiapplication,
C. R. Acad. Sci. Paris Sér. A 278 (1974), 1249–1252.
4. C. Castaing and M. Valadier,
Convex Analysis and Measurable Multifunctions,
Lecture Notes in Math. 580,
Springer, Berlin, 1977.
5. R. S. Chauhan, D. Ghosh, J. Ramik and A. K. Debnath,
Generalized Hukuhara–Clarke derivative of interval-valued functions and its properties,
Soft. Comput. 25 (2021), 14629–14643.