Dissipative Properties of ω-Order Preserving Partial Contraction Mapping in Semigroup of Linear Operator - Advances in Pure Mathematics

APM > Vol.9 No.6, June 2019

Dissipative Properties of ω-Order Preserving Partial Contraction Mapping in Semigroup of Linear Operator ()

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Download as PDF (Size: 308KB) PP. 544-550

DOI: 10.4236/apm.2019.96026 675 Downloads 1,237 Views Citations

Author(s)

Akinola Yussuff Akinyele, Kamilu Rauf^*, Aasa Moses Adebowale, Omosowon Jude Babatunde

Affiliation(s)

Department of Mathematics, University of Ilorin, Ilorin, Nigeria.

ABSTRACT

This paper consists of dissipative properties and results of dissipation on infinitesimal generator of a C₀-semigroup of ω-order preserving partial contraction mapping (ω-OCP_n) in semigroup of linear operator. The purpose of this paper is to establish some dissipative properties on ω-OCP_n which have been obtained in the various theorems (research results) and were proved.

KEYWORDS

Semigroup, Linear Operator, Dissipative Operator, Contraction Mapping and Resolvent

Share and Cite:

Akinyele, A. , Rauf, K. , Adebowale, A. and Babatunde, O. (2019) Dissipative Properties of ω-Order Preserving Partial Contraction Mapping in Semigroup of Linear Operator. Advances in Pure Mathematics, 9, 544-550. doi: 10.4236/apm.2019.96026.

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