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Article
A geometrical coefficient implying the fixed point property and stability results
(University of Houston, 1996)
In this paper we define a new geometric constant M(X) in Banach spaces such that X has the fixed point property for nonexpansive mappings if M(X) > 1. We prove that M(X) •_ WCS(X), the inequality being strict in many ...
Article
Remarks on multivalued nonexpansive mappings
(Soochow University, 1995-01)
Convergence of fixed point sets of multivalued nonexpansive mappings is studied under both the Mosco and Hausdorff senses. A characterization for *- nonexpansive multivalued mappings is given. Also a counterexample is ...
Article
Convergence in mean of weighted sums of {an,k}-compactly uniformly integrable random elements in Banach spaces
(Hindawi, 1997)
The convergence in mean of a weighted sum ka.k(Xk EXk) of random elements in a separable Banach space is studied under a new hypothesis which relates the random elements with their respective weights in the sum: the {a.. ...
Article
Qualitative and quantitative properties for the space ℓp,q
(University of Houston, 1996)
The space lp,q is simply the space lp but renormed by 1 Ixlp,q =(11x+llg + IIx-IIg);, ß E where II'[Ip is the usual lp norm and x + and x- are the positive and negative. parts of x, respectively. Bynum used lp,1 and Smith ...
Article
Some geometric properties concerning fixed point theory
(Universidad Complutense de Madrid, 1996)
The Fixed Point Theory for nonexpansive mappings is strongly based upon the geometry of the ambient Banach space. In section 1 we state the role which is played by the multidimensional convexity and smoothness in this ...
Article
Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials
(Elsevier, 1998-03-09)
Starting from the second-order difference hypergeometric equation satisfied by the set of discrete orthogonal polynomials ∗pn∗, we find the analytical expressions of the expansion coefficients of any polynomial rm(x) and ...