Attracting Sets for Increasing Co‐Radiant and Topical Operators
Peter E. Kloeden, Alexander M. Rubinov · Mathematische Nachrichten · 2002
A generalization of the Perron-Frobenius theorem to increasing positively homogeneous of degree one operators is extended to increasing co-radiant and topical operators, which are of interest in mathematical economics. In particular, small attracting sets containing the limit points of all sequences generated by iteration of such operators are determined.