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

Author

John David Kubicek

Abstract

"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.

Several results concerning convergence of the sequence of iterates in metric spaces are generalized to Hausdorff uniform spaces.

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

Advisor(s)

Hicks, Troy L.

Committee Member(s)

Haddock, Glen
Rakestraw, Roy M.
Hill, Otto H.
Trimble, S. Y.
Rigler, A. K.

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Publisher

University of Missouri--Rolla

Publication Date

1975

Pagination

iii, 55 pages

Note about bibliography

Includes bibliographical references (pages 52-54)

Rights

© 1975 John David Kubicek, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Thesis Number

T 3059

Print OCLC #

6013498

Recommended Citation

Kubicek, John David, "Applications of metrics over Tikonov semifields and fixed points in Hilbert spaces" (1975). Doctoral Dissertations. 262.
https://scholarsmine.mst.edu/doctoral_dissertations/262