the triangulation lies in a cube of size one. With respect to this triangulation we assume that the function satisfies … prove this we use a simplicial algorithm that terminates with a zero point within a finite number of iterations. The …

proof using a combinatorial argument based on a simplicial algorithm with vector labeling and lexicographic linear … programming pivot steps. We also adept the algorithm to prove the existence of a solution to the discrete complementarity problem. …

proof using a combinatorial argument based on a simplicial algorithm with vector labeling and lexicographic linear … programming pivot steps. We also adept the algorithm to prove the existence of a solution to the discrete complementarity problem. …

functions. A constructive and combinatorial proof is given based upon a simplicial algorithm and vector labeling. Moreover, we …

proof using a combinatorial argument based on a simplicial algorithm with vector labeling and lexicographic linear … programming pivot steps. We also adept the algorithm to prove the existence of a solution to the discrete complementarity problem …

In this paper, an algorithm is proposed to find a discrete zero point of a function on the collection of integral … points in the n-dimensional Euclidean space R (n). Starting with a given integral point, the algorithm generates a finite …

Tucker's well-known combinatorial lemma states that for any given symmetric triangulation of the n-dimensional unit … cube and for any integer labeling that assigns to each vertex of the triangulation a label from the set f§1;§2; ¢ ¢ ¢ ;§ng … with the property that antipodal vertices on the boundary of the cube are assigned opposite labels, the triangulation …

using a combinatorial argument based on a simplicial algorithm with vector labeling and lexicographic linear programming … pivot steps. We also adept the algorithm to prove the existence of a solution to the discrete complementarity problem. …