Applications of metrics over Tikonov semifields and fixed points in Hilbert spaces

<p>"For Non expansive mappings on locally convex spaces, sufficient conditions are given for the set of fixed points to be a Non expansive retract. Also, sufficient conditions are given for certain semigroups of asymptotically Non expansive mappings to have a common fixed point.</p> <p>Several results concerning convergence of the sequence of iterates in metric spaces are generalized to Hausdorff uniform spaces.</p> <p>In Hilbert spaces, sufficient conditions are given for convergence of a Mann iteration process of strictly quasi pseudo contractive mappings. An example is given to show the process does not, in general, converge for pseudo contractive mappings"-- Abstract, p. ii</p>

Name thesis:degree_name

Ph. D. in Mathematics

Grantor

University of Missouri--Rolla

Year dc:date.available

2016

Author dc:creator

• Kubicek, John David

• Mathematics

Repository record dc:identifier

https://scholarsmine.mst.edu/doctoral_dissertations/262

OAI identifier oai:identifier

oai:scholarsmine.mst.edu:doctoral_dissertations-1264