A study of some properties of an n-order functional inclusion | Zendy

Tania Angelica Lazăr | Zendy; Vasile L. Lazăr | Zendy

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A study of some properties of an n-order functional inclusion

Author(s) -

Tania Angelica Lazăr,

Vasile L. Lazăr

Publication year - 2016

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.009.02.01

Subject(s) - mathematics , order (exchange) , inclusion (mineral) , chemistry , business , mineralogy , finance

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) ∈ G(t, x(f1(t)), . . . , x(fn(t))), t ∈ X, (1) where the function G : X × Y n −→ Pcl,cv(Y ) and f1, f2, ..., fn : X −→ 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]. c ©2016 All rights reserved.

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