Browsing Department of Mathematics by Subject "Fixed point theorem"

Now showing items 1-5 of 5

    • 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 ...

    • Fixed Point Theorems on Closed Sets Through Abstract Cones 

      Lakshmikantham, V.; Eisenfeld, Jerome (University of Texas at ArlingtonDepartment of Mathematics, 1976-03)
      **Please note that the full text is embargoed** ABSTRACT: Let D be a closed subset of a complete metric space (X,p). We seek (i) conditions upon which a map T : D -> X has a fixed point in D and (ii) the construction of ...

    • Sample Solutions of Stochastic Boundary Value Problems 

      Lakshmikantham, V.; Ladde, G. S.; Deimling, K. (University of Texas at ArlingtonDepartment of Mathematics, 1984-11)
      **Please note that the full text is embargoed** ABSTRACT: We prove existence theorems for nonlinear stochastic Sturmiouville problems which improve results from [4]. In the simplest case this is done by means of a known ...

    • Zeros of Bouligand-Nagumo Fields, Flow-Invariance and the Bouwer Fixed Point Theorem 

      Pavel, Nicolae H. (University of Texas at ArlingtonDepartment of Mathematics, 1987)
      **Please note that the full text is embargoed** ABSTRACT: Mainly, in this paper we prove that if D is a convex compact of Rn, then the Brouwer fixed point property of D is equivalent to the fact that every Bouligand-Nagums ...