The geometric structure of the Pareto distribution.
Coincidence theorems for set-valued maps with g-kkm property on generalized convex space
In this paper, a set-valued mapping with G-KKM property is defined and a generalization of minimax theorem for set-valued maps with G-KKM property on generalized convex space is established. As a consequence of this results we verify the coincidence theorem for set-valued maps with G-KKM property on G-convex space. Finally, we apply our results to the best approximation problem and fixed point problem.
On minimal homothetical hypersurfaces
We give a classification of minimal homothetical hypersurfaces in an (n+1)-dimensional Euclidean space. In fact, when n ≥ 3, a minimal homothetical hypersurface is a hyperplane, a quadratic cone, a cylinder on a quadratic cone or a cylinder on a helicoid.
Saddle point problems, bilevel problems, and mathematical program with equilibrium constraint on complete metric spaces.
Coincidence theorems for families of multimaps and their applications to equilibrium problems.
Common fixed point theorems for a finite family of discontinuous and noncommutative maps.
An extension of the method of brackets. Part 1
The method of brackets is an efficient method for the evaluation of alarge class of definite integrals on the half-line. It is based on a small collection of rules, some of which are heuristic. The extension discussed here is based on the concepts of null and divergent series. These are formal representations of functions, whose coefficients an have meromorphic representations for n ∈ ℂ, but might vanish or blow up when n ∈ ℕ. These ideas are illustrated with the evaluation of a variety of entries...
Pochhammer symbol with negative indices. A new rule for the method of brackets
The method of brackets is a method of integration based upon a small number of heuristic rules. Some of these have been made rigorous. An example of an integral involving the Bessel function is used to motivate a new evaluation rule.
Critical point theorems and Ekeland type variational principle with applications.
Page 1