Title of article
Optimal Solution for the System of Differential Inclusion in Hilbert Space
Author/Authors
Soltani, Zeinab Department of Pure Mathematics - University of Kashan, Kashan, Iran , Darabi, Marzie Basic Science Group - Golpayegan College of Engineering - Isfahan University of Technology, Golpayegan, Iran
Pages
9
From page
319
To page
327
Abstract
In this paper, we study the existence of the following optimal solution for the system of differential inclusion
y′ ∈ Φ(t,y(t)) a.e. t ∈ I = [t0,b] and y(t0) = u2,
y′ ∈ Ψ(t,y(t)) a.e. t ∈ I = [t0,b] and y(t0) = u1.
in a Hilbert space, where Φ and Ψ are multivalued maps. Our existence result is obtained via selection technique and the best proximity point methods reducing the problem to a differential inclusion.
Keywords
differential inclusion , best proximity point , selection theorem
Journal title
Mathematics Interdisciplinary Research
Serial Year
2021
Record number
2706251
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