ON EXISTENCE RESULTS IN FIXED SET THEORY AND APPLICATIONS TO SELF-SIMILARITY.

In this manuscript, by removing the domain convexity hypothesis, the existence of fixed set results for the sum and the product of (p + 1)-multi-valued operators ... A · Bi, acting on Banach algebras satisfying a sequential condition (P) under weak topology is proved. In addition, by using a new definition of the multi-valued operator (I/A), we obtain new fixed-set theorems for the operators of the form (I/A)- ... Bi under some suitable conditions on the operators A, B1, ... Bp. Applications to self-similarity theory are also given. [ABSTRACT FROM AUTHOR]