A study of some properties of an n-order functional inclusion
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Authors
Tania Angelica Lazăr
- Department of Mathematics, Technical University of Cluj-Napoca, Memorandumului St.28, 400114, Cluj-Napoca, Romania.
Vasile Lucian Lazăr
- The Faculty of Economics, Western University of Arad, Mihai Eminescu St.15, 310086, Arad, Romania.
Abstract
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].
Share and Cite
ISRP Style
Tania Angelica Lazăr, Vasile Lucian Lazăr, A study of some properties of an n-order functional inclusion, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 2, 350--356
AMA Style
Lazăr Tania Angelica, Lazăr Vasile Lucian, A study of some properties of an n-order functional inclusion. J. Nonlinear Sci. Appl. (2016); 9(2):350--356
Chicago/Turabian Style
Lazăr, Tania Angelica, Lazăr, Vasile Lucian. "A study of some properties of an n-order functional inclusion." Journal of Nonlinear Sciences and Applications, 9, no. 2 (2016): 350--356
Keywords
- Functional inclusion
- multivalued weakly Picard operator
- fixed point
- \(\varphi\)-contraction
- data dependence
- well-posedness
- Ulam-Hyers stability.
MSC
References
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[1]
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