论文信息 - Topological degree and the Sperner lemma

Topological degree and the Sperner lemma

In this paper, we give a new proof of Sperner's lemma, in its superstrong from, using the topological degree. Thus, we point out a relation between several methods for fixed-point theorems using either the topological degree, or the KKM lemma, or the Sperner lemma.

C. Le Van

[1] Monique Florenzano,et al. Equilibre économique général transitif et intransitif (l'). problèmes d'existence , 1980 .

[2] H. Kuhn,et al. Sandwich method for finding fixed points , 1975 .

[3] C. Berge,et al. Espaces topologiques : fonctions multivoques , 1966 .

[4] Hoang Tuy. Pivotal methods for computing equilibrium points: Unified approach and new restart algorithm , 1979, Math. Program..

[5] Herbert E. Scarf,et al. The Approximation of Fixed Points of a Continuous Mapping , 1967 .

[6] M. Todd. The Computation of Fixed Points and Applications , 1976 .

[7] Mark Yoseloff. Topologic Proofs of Some Combinatorial Theorems , 1974, J. Comb. Theory, Ser. A.

[8] J. Schwartz. Nonlinear Functional Analysis , 1969 .