A generalized coincidence point index

• Benkafadar, N.M. ^[1] ; Benkara-Mostefa, M.C. ^[1]
  1. [1] University of Constantine
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 6, Nº. 1, 2005, págs. 87-100
• Idioma: inglés
• DOI: 10.4995/agt.2005.1959
• Enlaces
  • Texto completo
• Resumen

  • The paper is devoted to build for some pairs of continuous single-valued maps a coincidence point index. The class of pairs (f, g) satisfies the condition that f induces an epimorphism of the Cech homology groups with compact supports and coefficients in the field of rational numbers Q. Using this concept one defines for a class of multi-valued mappings a fixed point degree. The main theorem states that if the general coincidence point index is different from {0}, then the pair (f, g) admits at least a coincidence point. The results may be considered as a generalization of the above Eilenberg-Montgomery theorems [12], they include also, known fixed-point and coincidence-point theorems for single-valued maps and multi-valued transformations.

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