Geodesic
A study of some properties of an n-order functional inclusion
Lazăr, Tania Angelica1 ; Lazăr, Vasile Lucian2
1 Department of Mathematics, Technical University of Cluj-Napoca, Memorandumului St.28, 400114, Cluj-Napoca, Romania
2 The Faculty of Economics, Western University of Arad, Mihai Eminescu St.15, 310086, Arad, Romania
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 2, p. 350-356.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The purpose of this paper is to study the solution set of the functional inclusion of n-th order of the following form:
$x(t) \in G(t; x(f_1(t)); ...; x(f_n(t))); t \in X;\quad (1)$
where the function $G: X\times Y^n\rightarrow P_{cl,cv}(Y)$ and $f_1; f_2; ...; f_n : X \rightarrow X$ are given. The approach is based on some fixed point theorems for multivalued operators, satisfying the nonlinear contraction condition, see [V. L. Lazăr, Fixed Point Theory Appl., 2011 (2011), 12 pages].
DOI : 10.22436/jnsa.009.02.01
Classification : 47H10, 54H25, 54C60
Keywords: Functional inclusion, multivalued weakly Picard operator, fixed point, \(\varphi\)-contraction, data dependence, well-posedness, Ulam-Hyers stability.

Lazăr, Tania Angelica 1 ; Lazăr, Vasile Lucian 2

1 Department of Mathematics, Technical University of Cluj-Napoca, Memorandumului St.28, 400114, Cluj-Napoca, Romania
2 The Faculty of Economics, Western University of Arad, Mihai Eminescu St.15, 310086, Arad, Romania 
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Lazăr, Tania Angelica; Lazăr, Vasile Lucian. A study of some properties of an n-order functional inclusion. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 2, p. 350-356. doi : 10.22436/jnsa.009.02.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.02.01/

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