Browsing Department of Mathematics by Author "Williams, B. B."
Now showing items 1-4 of 4
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Fixed Point Theorem for Non-Expansive Mappings on Banach Spaces with Unifformly Normal Structure
Williams, B. B.; Gillespie, A. A. (University of Texas at ArlingtonDepartment of Mathematics, 1977-11)**Please note that the full text is embargoed** ABSTRACT: In [1] Kirk proved that if D is a bounded, closed, and convex subset of a reflexive Banach space that has normal structure, then every non-expansive mapping of D ... -
Fixed Point Theorems for Expanding Maps
Williams, B. B.; Gillespie, A. A. (University of Texas at ArlingtonDepartment of Mathematics, 1981-03)**Please note that the full text is embargoed** ABSTRACT: Suppose (X,d) is a metric space, h > 0 and T: X -> X. We shall use the notation T E E(h) to mean [see pdf for notation] for each x,y E X. If h > 1, then T will be ... -
On the Convergence of Successive Approximations for Quasi-Nonexpansive Mappings Through Abstract Cones
Williams, B. B.; Bolen, J. C. (University of Texas at ArlingtonDepartment of Mathematics, 1975-07)**Please note that the full text is embargoed** ABSTRACT: In a recent paper, Petryshyn and Williamson [4] investigated the convergence of successive approximations of quasi- nonexpansive mappings in a Banach space. This ... -
Some Theorems on Fixed Points in Lipschitz and Kannan Type Mappings
Williams, B. B.; Gillespie, A. A. (University of Texas at ArlingtonDepartment of MathematicsDepartment of Mathematics, 1980-01)**Please note that the full text is embargoed**