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Article
On stationary points of nonexpansive set-valued mappings
(Springer, 2015-12)
In this paper we deal with stationary points (also known as endpoints) of nonexpansive set-valued mappings and show that the existence of such points under certain conditions follows as a consequence of the existence of ...
Article
Q-classical orthogonal polynomials: a very classical approach
(Kent State University, 1999)
The q-classical orthogonal polynomials defined by Hahn satisfy a Sturm-Liouville type equation in geometric differences. Working with this, we classify the q−classical polynomials in twelve families according to the zeros ...
Article
Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions
(Elsevier, 2004-03-01)
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the non-strict Opial condition. Let C be a bounded closed convex subset of X, KC(X) the family of all compact convex subsets ...
Article
Solving nonconvex planar location problems by nite dominating sets
(Springer, 2000-10)
It is well-known that some of the classical location problems with polyhedral gauges can be solved in polynomial time by nding a fi nite dominating set, i.e. a finite set of candidates guaranteed to contain at least one ...
Article
Mutually nearest and farthest points of sets and the Drop Theorem in geodesic spaces
(Springer, 2012-02)
Let A and X be nonempty, bounded and closed subsets of a geodesic metric space (E, d). The minimization (resp. maximization) problem denoted by min(A, X) (resp. max(A, X)) consists in finding (a0,x0)∈A×X(a0,x0)∈A×X such ...
Article
On the q-polynomials: a distributional study
(Elsevier, 2001-10-15)
In this paper we present a uni1ed distributional study of the classical discrete q-polynomials (in the Hahn’s sense). From the distributional q-Pearson equation we will deduce many of their properties such as the three-term ...
Article
Geodesic Ptolemy spaces and fixed points
(Elsevier, 2011-01-01)
We prove that geodesic Ptolemy spaces with a continuous midpoint map are strictly convex. Moreover, we show that geodesic Ptolemy spaces with a uniformly continuous midpoint map are reflexive and that in such a setting ...
Article
Some relations between variational-like inequalities and efficient solutions of certain nonsmooth optimization problems
(Hindawi, 2006)
We study the equivalence between the solutions of the variational-like inequality problem and the solutions of certain nonsmooth and nonconvex vectorial optimization problem.
Article
Compact mappings and proper mappings between Banach spaces that share a value
(Bulgarian Academy of Sciences, 2000)
Sufficient conditions are given to assert that differentiable compact mappings and differentiable proper mappings between Banach spaces share a value. The conditions involve Fredholm operators. The proof of the result is ...
Article
Asymptotic behaviour of global solutions to a model of cell invasion
(World Scientific, 2010-09)
In this paper we analyze a mathematical model focusing on key events of the cells invasion process. Global well-possedness and asymptotic behaviour of nonnegative solutions to the corresponding coupled system of three ...