TITLE:
Some Result of Stability and Spectra Properties on Semigroup of Linear Operator
AUTHORS:
Kamilu Rauf, Akinola Yussuff Akinyele, Mfon Okon Etuk, Rafiu Obashola Zubair, Moses Adebowale Aasa
KEYWORDS:
Contraction Mapping, Semigroup, Banach Space, Resolvent and Bounded Operator
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.9 No.1,
January
25,
2019
ABSTRACT: This paper consists of some
properties of a new subclass of semigroup of linear operator. The stability and
spectra analysis of ω-order
preserving partial contraction mapping (ω-OCPn) are obtained. The
results show that operators on the proposed ω-OCPn are densely defined and closed. Several existing results in the literature
are contained in this work.