%0 Journal Article
%T Dissipative Properties of ¦Ø-Order Preserving Partial Contraction Mapping in Semigroup of Linear Operator
%A Akinola Yussuff Akinyele
%A Kamilu Rauf
%A Aasa Moses Adebowale
%A Omosowon Jude Babatunde
%J Advances in Pure Mathematics
%P 544-550
%@ 2160-0384
%D 2019
%I Scientific Research Publishing
%R 10.4236/apm.2019.96026
%X This paper consists of dissipative properties and
results of dissipation on infinitesimal generator of a </span><i><span style=\"font-family:Verdana;\">C</span></i><sub><span style=\"font-family:Verdana;\">0</span></sub><span style=\"font-family:Verdana;\">-semigroup of </span><i><span style=\"font-family:Verdana;\">¦Ø</span></i><span style=\"font-family:Verdana;\">-order
preserving partial contraction mapping (</span><i><span style=\"font-family:Verdana;\">¦Ø</span></i><span style=\"font-family:Verdana;\">-</span><i><span style=\"font-family:Verdana;\">OCP</span><sub><span style=\"font-family:Verdana;\">n</span></sub></i><span style=\"font-family:Verdana;\">) in semigroup of linear
operator. The purpose of this paper is to establish some dissipative properties
on </span><i><span style=\"font-family:Verdana;\">¦Ø</span></i><span style=\"font-family:Verdana;\">-</span><i><span style=\"font-family:Verdana;\">OCP</span><sub><span style=\"font-family:Verdana;\">n</span></sub></i><span style=\"font-family:Verdana;\"> which have been obtained in the various theorems</span></span><span style=\"font-family:&quot;\"> </span><span style=\"font-family:Verdana;\">(research results) and were proved.
%K Semigroup
%K Linear Operator
%K Dissipative Operator
%K Contraction Mapping and Resolvent
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=93346