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Now showing items 11-20 of 36
Comparison Results for Reaction-Diffusion Equations in a Banach Space
(University of Texas at Arlington, 1979-06)
**Please note that the full text is embargoed** ABSTRACT: Let T be the temperature and n the concentration of a combustible substance. A simple model governing the combustion of the material is given by
[see pdf for ...
Fixed Point Theorms of Operators with PPF Dependence in Banach Spaces
(University of Texas at Arlington, 1975)
**Please note that the full text is embargoed** ABSTRACT: In this paper we develop a theory of fixed points of a nonlinear operator, T, whose domain is the Banach space of continuous functions defined on an interval [a,b] ...
On the Zeros of Monotone Operators of Retarded Type in a Banach Space
(University of Texas at Arlington, 1975-09)
**Please note that the full text is embargoed** ABSTRACT: Recent interest in the Cauchy problem for differential equations in a Banach space [9] has stimulated a similar interest for differential equations of a retarded ...
On the Construction of a Norm Associated with the Measure of Noncompactness
(University of Texas at Arlington, 1976-02)
**Please note that the full text is embargoed** ABSTRACT: It is shown that the bounded, nonempty subsets of a reflexive Banach space g can be imbedded in another Banach space B(E) in such a manner so that the measure of ...
On the Convergence of Successive Approximations for Quasi-Nonexpansive Mappings Through Abstract Cones
(University of Texas at Arlington, 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 ...
Method of Quasi-Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 1981-05)
**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with ||•|| and let E* denote the dual of E. Let K C E be a cone, that is, a closed convex subset such
that ^K C K for every ^ ≥ 0 and ...
Monotone Iterative Technique for Differential Equations in a Banach Space
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with norm [see pdf for notation].
Consider the initial value problem (1.1) [see pdf for notation],
where [see pdf for notation]. ...
Fixed Point Theorems for Expanding Maps
(University of Texas at Arlington, 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 Method of Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed**
On a Proximal Point Method for Optimization in Banach Spaces
(University of Texas at Arlington, 1997-02)
**Please note that the full text is embargoed** ABSTRACT: We analyze the behavior of a parallel proximal point method for solving convex optimization problems in reflexive Banach spaces. Similar algorithms were known to ...